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.  What is the definition of "cosine"?
A.
B.
C.
D.
2.  If the side lengths of a triangle are 7, 6, and 9, the triangle is _____. 
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B.
C.
D.
3.  In triangle ABC, angle C is a right angle, BC = 3, and AC = 4. Find AB.
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B.
C.
D.
4.  In a 45°-45°-90° triangle, the ratio of the length of the hypotenuse to the length of a side is _____. 
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B.
C.
D.
5.  One leg of a right triangle is 4 meters and the hypotenuse is 8 meters.  The approximate length of the second leg is _____________.
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B.
C.
D.
6.  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? 
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B.
C.
D.
7.  What is the length of the diagonal of a square with side lengths  7 times the square root of 2?
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B.
C.
D.
8.  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. 
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B.
C.
D.
9.   In a 30°-60°-90° triangle, the ratio of the length of the hypotenuse to the length of the shorter side is _____. 
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B.
C.
D.
10.  What is the definition of "sine"?
A.
B.
C.
D.
11.  What is the definition of  "tangent"?
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B.
C.
D.
12.  In triangle BCA: BC = 8; CA = 15; AB = 17.  Angel C is a 90 degree angle.  Write cos A.
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B.
C.
D.
13.  Which of the following could be the lengths of the sides of a patio in the shape of a right triangle? 
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B.
C.
D.
14.  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? 
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B.
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.
B.
C.
D.
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