Analysis X
Analysis X Name: __________________
Mr. Russo
Finding sides of triangles using Trig Functions
Make sure your calculator is in DEGREE mode, and round all answers to 3 decimal places.
1.) If P = 35° and r = 14, find q.
2.)
If J = 50° and j = 12, find r.
3.) State which trigonometric function you would use to solve each problem. You do not have to actually solve the problem (this time).
a.) If S = 42° and ST = 8, then to find RS, I would use __________.
b.) If T = 55° and RT = 5, then to find RS, I would use __________.
c.) If S = 27° and TR = 7, then to find TS, I would use __________.
4.) Each base angle of an isosceles triangle measures 55°30’. Each of the congruent sides is 10 cm long.
a.) How long is the altitude of the triangle?
b.) What is the length of the base?
c.) Find the area of the triangle.
5.) Solve each problem.
a.) If b = 13 and A = 76°, find a.
b.) If B = 26° and b = 18, find c.
c.) If B = 16°45’ and c = 13, find a.
Answers!
1.) 14 cos 35° = 11.468 5a.) 13 tan 76° = 52.140
2.) [pic]= 15.665 5b.) [pic] = 41.061
3.) cos, tan, sin 5c.) 13 cos 16°45’ = 12.448
4a.) altitude = 10 sin 55° 30’ = 8.241 cm
4b.) base = 11.328 cm
4c.) [pic] = 46.679 cm² (If you got 46.677, then you used your rounded answers from parts a & b to get your answer to part c. Don’t do that. Use the exact values [stored in your calculator] to do part c, and round your final answer.)
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r
p
q
35°
Q
R
P
j
g
r
G
J
R
S
T
R
A
c
b
B
C
a
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