Chapter 9: Right Triangles And Trigonometry
Pythagorean Theorem and its converse; Special Right Triangles; Trigonometry
- 1.
Rita drew right triangle GHK on a sheet of notebook paper. ___ GH = 3 cm (LL) ___ GH = 5 cm (Hypotenuse) To the nearest centimeter, what is the perimeter of the triangle?- A.
6 cm
- B.
8 cm
- C.
10 cm
- D.
12 cm
- 2.How far up the side of a house will a 16-foot ladder reach if the base of the ladder is 8 feet from the house?
- A.
8 times the square root of 3 ft
- B.
8 times the square root of 2 ft
- C.
16 times the square root of 3 ft
- D.
16 times the square root of 2 ft
- 3.One leg of a right triangle is 4 meters and the hypotenuse is 8 meters. The approximate length of the second leg is _____________.
- A.
4 m
- B.
7 m
- C.
9 m
- D.
12 m
- 4.Which of the following could be the lengths of the sides of a patio in the shape of a right triangle?
- A.
1, 2, 3
- B.
5, 12, 18
- C.
6, 12, 15
- D.
7, 24, 25
- 5.If the side lengths of a triangle are 7, 6, and 9, the triangle is _____.
- A.
Obtuse
- B.
Right
- C.
Acute
- D.
Cannot be formed
- 6.In a 45°-45°-90° triangle, the ratio of the length of the hypotenuse to the length of a side is _____.
- A.
1:1
- B.
Square root of 2:1
- C.
Square roof of 3:1
- D.
2:1
- 7.In a 30°-60°-90° triangle, the ratio of the length of the hypotenuse to the length of the shorter side is _____.
- A.
Square root of 3:1
- B.
2:square root of 3
- C.
2:1
- D.
Square root of 2:1
- 8.What is the length of the diagonal of a square with side lengths 7 times the square root of 2?
- A.
7 times the square root of 2
- B.
14
- C.
7
- D.
28
- 9.In triangle BCA: BC = 8; CA = 15; AB = 17. Angel C is a 90 degree angle. Write cos A.
- A.
8/15
- B.
15/8
- C.
15/17
- D.
8/17
- 10.From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find the distance from the boat to the foot of the lighthouse. The lighthouse was built at sea level.
- A.
107 ft
- B.
207 ft
- C.
187 ft
- D.
210 ft
- 11.In triangle ABC, angle C is a right angle, BC = 3, and AC = 4. Find AB.
- A.
1
- B.
5
- C.
7
- D.
12
- 12.What is the definition of "sine"?
- A.
Opposite/Adjacent
- B.
Hypotenuse/Adjacent
- C.
Opposite/Hypotenuse
- D.
Adjacent/Opposite
- 13.What is the definition of "cosine"?
- A.
Hypotenuse/Adjacent
- B.
Adjacent/Opposite
- C.
Hypotenuse/opposite
- D.
Adjacent/Hypotenuse
- 14.What is the definition of "tangent"?
- A.
Adjacent/Hypotenuse
- B.
Hypotenuse/opposite
- C.
Opposite/Adjacent
- D.
Adjacent/Opposite
- 15.A wheelchair ramp needs to be pitched at 30o. If the ramp is to access a 25-inch step to a door, what will the length of the ramp be? (Round to the nearest inch.)
- A.
50 inches
- B.
52 inches
- C.
85 inches
- D.
86 inches
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