Trigonometry; Bearings

Question 1

A ladder of length 6 m leans against a vertical wall so that the base of the ladder is 2 m from the wall.
Calculate the angle between the ladder and the wall.

Accepted Answer

19.5

Answer

31

Answer

18

Answer

22.8

Answer

20

Question 2

A ladder of length 8 m rests against a wall so that the angle between that ladder and the wall is 31o.
However far is the base of the ladder form the wall?

Accepted Answer

4.1 m

Answer

7.1 m

Answer

6 m

Answer

3.6 m

Answer

6. 3 m

Question 3

A ship sails 35 km on a bearing of 042o.
How far south has it traveled?

Accepted Answer

26.0 km

Answer

22.0 km

Answer

23.0 km

Answer

24.0 km

Answer

25.0 km

Question 4

From the previous question.
A ship sails 35 km on a bearing of 042o.
How far east has it traveled?

Accepted Answer

23.4 km

Answer

23. 1 km

Answer

26.1 km

Answer

20.1 km

Answer

25.4 km

Question 5

A ship sails 200km on a bearing of 243.7o
How far south has it traveled?

Accepted Answer

88.6 km

Answer

90.1 km

Answer

68.9 km

Answer

74.7 km

Answer

81.9 km

Question 6

From the previous question.
A ship sails 200km on a bearing of 243.7o
How far west has it traveled?

Accepted Answer

173.1 km

Answer

200.3 km

Answer

179.3 km

Answer

169.3 km

Answer

180 km

Question 7

An aircraft flies 400 km from a point O on a bearing of 025o and then 700 km on a bearing of 080o
How far north of O is B?

Accepted Answer

484 km

Answer

456 km

Answer

432 km

Answer

500 km

Answer

444 km

Question 8

From the previous question.
An aircraft flies 400 km from a point O on a bearing of 025o and then 700 km on a bearing of 080o
How far east of O is B?

Accepted Answer

858 km

Answer

794 km

Answer

835 km

Answer

910 km

Answer

749 km

Question 9

From the previous question.
An aircraft flies 400 km from a point O on a bearing of 025o and then 700 km on a bearing of 080o
Find the distance and bearings of B from O

Accepted Answer

985 km, 060

Answer

984 km, 070

Answer

983 km, 080

Answer

982 km, 090

Answer

981 km, 100

Question 10

An aircraft flies 500 km on a bearing of 100o and the 600 km on a bearing of 160o.
Find the distance and bearing of the finishing point from the starting point.

Accepted Answer

954 km, 133

Answer

950 km, 137

Answer

951 km, 136

Answer

952 km, 135

Answer

953 km, 134

Question 11

For points A(5,0) and B(7,3), calculate that angle between AB and the x- axis.

Accepted Answer

56.3

Answer

47.1

Answer

60.1

Answer

57.6

Answer

51.9

Question 12

An isosceles triangle are 66o, 66o, and 48o at the center of the circle. If the shortest side of the trianlge is 8.4 cm, find the length of one of the two equal sides.

Accepted Answer

13.6

Answer

14.6

Answer

15.6

Answer

16.6

Answer

17.6

Question 13

From the top of a tower of height 75 m, a guard sees two prisoners, both due west of him. If the angles of depression of the two prisoners are 10o and 17o, calculate the distance between them.
Hint: Angle of Depression is an angle that moves downwards.

Accepted Answer

180 m

Answer

220 m

Answer

210 m

Answer

200 m

Answer

190 m

Trigonometry; Bearings

A ladder of length 6 m leans against a vertical wall so that the base of the ladder is 2 m from the wall. Calculate the angle between the ladder and the wall.

A ladder of length 8 m rests against a wall so that the angle between that ladder and the wall is 31^o. However far is the base of the ladder form the wall?

A ship sails 35 km on a bearing of 042^o. How far south has it traveled?

From the previous question. A ship sails 35 km on a bearing of 042^o. How far east has it traveled?

A ship sails 200km on a bearing of 243.7^o How far south has it traveled?

From the previous question. A ship sails 200km on a bearing of 243.7^o How far west has it traveled?

An aircraft flies 400 km from a point O on a bearing of 025^o and then 700 km on a bearing of 080^o How far north of O is B?

From the previous question. An aircraft flies 400 km from a point O on a bearing of 025^o and then 700 km on a bearing of 080^o How far east of O is B?

From the previous question. An aircraft flies 400 km from a point O on a bearing of 025^o and then 700 km on a bearing of 080^o Find the distance and bearings of B from O

An aircraft flies 500 km on a bearing of 100^o and the 600 km on a bearing of 160^o. Find the distance and bearing of the finishing point from the starting point.

For points A(5,0) and B(7,3), calculate that angle between AB and the x- axis.

An isosceles triangle are 66^o, 66^o, and 48^o at the center of the circle. If the shortest side of the trianlge is 8.4 cm, find the length of one of the two equal sides.

From the top of a tower of height 75 m, a guard sees two prisoners, both due west of him. If the angles of depression of the two prisoners are 10^o and 17^o, calculate the distance between them. Hint: Angle of Depression is an angle that moves downwards.

Trigonometry; Bearings

A ladder of length 6 m leans against a vertical wall so that the base of the ladder is 2 m from the wall. Calculate the angle between the ladder and the wall.

A ladder of length 8 m rests against a wall so that the angle between that ladder and the wall is 31o. However far is the base of the ladder form the wall?

A ship sails 35 km on a bearing of 042o. How far south has it traveled?

From the previous question. A ship sails 35 km on a bearing of 042o. How far east has it traveled?

A ship sails 200km on a bearing of 243.7o How far south has it traveled?

From the previous question. A ship sails 200km on a bearing of 243.7o How far west has it traveled?

An aircraft flies 400 km from a point O on a bearing of 025o and then 700 km on a bearing of 080o How far north of O is B?

From the previous question. An aircraft flies 400 km from a point O on a bearing of 025o and then 700 km on a bearing of 080o How far east of O is B?

From the previous question. An aircraft flies 400 km from a point O on a bearing of 025o and then 700 km on a bearing of 080o Find the distance and bearings of B from O

An aircraft flies 500 km on a bearing of 100o and the 600 km on a bearing of 160o. Find the distance and bearing of the finishing point from the starting point.

For points A(5,0) and B(7,3), calculate that angle between AB and the x- axis.

An isosceles triangle are 66o, 66o, and 48o at the center of the circle. If the shortest side of the trianlge is 8.4 cm, find the length of one of the two equal sides.

From the top of a tower of height 75 m, a guard sees two prisoners, both due west of him. If the angles of depression of the two prisoners are 10o and 17o, calculate the distance between them. Hint: Angle of Depression is an angle that moves downwards.

A ladder of length 8 m rests against a wall so that the angle between that ladder and the wall is 31^o. However far is the base of the ladder form the wall?

A ship sails 35 km on a bearing of 042^o. How far south has it traveled?

From the previous question. A ship sails 35 km on a bearing of 042^o. How far east has it traveled?

A ship sails 200km on a bearing of 243.7^o How far south has it traveled?

From the previous question. A ship sails 200km on a bearing of 243.7^o How far west has it traveled?

An aircraft flies 400 km from a point O on a bearing of 025^o and then 700 km on a bearing of 080^o How far north of O is B?

From the previous question. An aircraft flies 400 km from a point O on a bearing of 025^o and then 700 km on a bearing of 080^o How far east of O is B?

From the previous question. An aircraft flies 400 km from a point O on a bearing of 025^o and then 700 km on a bearing of 080^o Find the distance and bearings of B from O

An aircraft flies 500 km on a bearing of 100^o and the 600 km on a bearing of 160^o. Find the distance and bearing of the finishing point from the starting point.

An isosceles triangle are 66^o, 66^o, and 48^o at the center of the circle. If the shortest side of the trianlge is 8.4 cm, find the length of one of the two equal sides.

From the top of a tower of height 75 m, a guard sees two prisoners, both due west of him. If the angles of depression of the two prisoners are 10^o and 17^o, calculate the distance between them. Hint: Angle of Depression is an angle that moves downwards.