# Chapter 9: Right Triangles And Trigonometry

15 Questions | Total Attempts: 356  Settings  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.

• B.

• C.

Opposite/Hypotenuse

• D.

• 13.
What is the definition of "cosine"?
• A.

• B.

• C.

Hypotenuse/opposite

• D.

• 14.
What is the definition of  "tangent"?
• A.

• B.

Hypotenuse/opposite

• C.

• D.

• 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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