# Chapter 9: Right Triangles And Trigonometry

15 Questions  I  By Ikthomas77
Pythagorean Theorem and its converse; Special Right Triangles; Trigonometry

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 1 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
 2 What is the definition of  "tangent"?
 B. Hypotenuse/opposite
 3 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
 4 In triangle ABC, angle C is a right angle, BC = 3, and AC = 4. Find AB.
 A. 1
 B. 5
 C. 7
 D. 12
 5 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
 6 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
 7 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
 8 If the side lengths of a triangle are 7, 6, and 9, the triangle is _____.
 A. Acute
 B. Cannot be formed
 C. Obtuse
 D. Right
 9 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
 10 What is the definition of "cosine"?
 C. Hypotenuse/opposite
 11 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
 12 What is the definition of "sine"?
 C. Opposite/Hypotenuse
 13 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
 14 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
 15 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
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