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Chapter 9: Right Triangles And Trigonometry

15 Questions  I  By Ikthomas77
Chapter 9: right Triangles and Trigonometry
Pythagorean Theorem and its converse; Special Right Triangles; Trigonometry

  
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1.  In triangle BCA: BC = 8; CA = 15; AB = 17.  Angel C is a 90 degree angle.  Write cos A.
A.
B.
C.
D.
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.
B.
C.
D.
3.  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.
B.
C.
D.
4.  What is the definition of "cosine"?
A.
B.
C.
D.
5.  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.
6.  What is the definition of  "tangent"?
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B.
C.
D.
7.  If the side lengths of a triangle are 7, 6, and 9, the triangle is _____. 
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B.
C.
D.
8.   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.
9.  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.
10.  In triangle ABC, angle C is a right angle, BC = 3, and AC = 4. Find AB.
A.
B.
C.
D.
11.  What is the definition of "sine"?
A.
B.
C.
D.
12.  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.
13.  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.
14.  Which of the following could be the lengths of the sides of a patio in the shape of a right triangle? 
A.
B.
C.
D.
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.
B.
C.
D.
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