Geometry Unit 8 Exam Review
Right Triangle Trig
Name: ________________________
Teacher: ________________________
Directions: Use your trig functions to set up the appropriate ratio below. Select one final answer for each problem.
1) Cos G =
2) Sin H =
3) Tan G =
4) Tan H =
5) Sin G =
6) Cos H =
Directions: Round the following trig ratios to 4 decimal places. Be sure your calculator is in degrees.
7) Sin 38 = ______________
8) Tan 41 = _________________
9) Cos 73 = _________________
Directions: Find the missing angle using your inverse function. Round your answer to the nearest degree. Be sure
your calculator is in degrees.
10) Sin < A = .5691 < A = _______ 11) Cos < B = .2381 < B = ______
12) Tan < A = 1.9921 < A = ______
Directions: Solve for X to find the missing side or angle of the right triangles below. Round to the nearest tenth.
(SOH – CAH – TOA)
13)
14)
X = _________
X = _________
59
7
10
43
X
X
15)
16)
X = _________
X = _________
X
X
9
14
44
5
17) Coach Goodwin is flying a kite. The string makes an angle of 38º with the ground. If Coach Goodwin is standing
75 feet from the point on the ground directly below the kite, find the length of the kite string. Hint: Draw a picture!
18)
Solve for X in the right triangle below. Use what you know about right triangle similarity!
19) The length of one leg of a 45° –45° –90° triangle is 20. What is the perimeter of the triangle?
Hint: Draw a Picture!
20) Given the following side lengths, which triangle is a right triangle?
a) 10, 14, 24
b) 10, 24, 26
c) 13, 14, 28
d) 14, 20, 26
21) GEOMETRIC MEAN. Find the missing variable.
22) GEOMETRIC MEAN. Find the missing variable.
23)
24)
25)