Solving for Angles
Ratios
Story Problems
Solving for sides
100
What is angle a for triangle ABC if A=26 and C=33?
51.99*
100
What is the ratio for sine of a of triangle ABC if A=30 B=40 and C=50?
30/50 or 3/5 or .6
100
From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°. Calculate the height of the flagpole to the nearest tenth of a meter.
26m
100
What is the value for B of triangle ABC if b=59* and C=17
14.6
200
What is angle b for triangle ABC if B=39 and C=44?
62.42*
200
What is the ratio for the cosine of c of triangle ABC if A=8 B=15 and C=17?
8/17 or .47
200
A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of the wall. Determine the measure of the angle between the ladder and the ground, to the nearest degree.
80*
200
What is the value for A of triangle ABC if a=60* and C=17?
14.7
300
What is angle b for triangle ABC if B=24 and C=36?
48.19*
300
What is the ratio for the tangent of b for triangle ABC where A=36 B=27 and C=45?
36/27 or 1 and 1/3 or 1.333
300
The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the tree, to the nearest tenth of a meter?
35.4*
300
What is the value of B for triangle ABC if a=27* and C=20?
17.8
400
What is angle a for triangle ABC if B=20 and C=23?
29.6*
400
What is the secant of a equal to for triangle ABC if A=20, B=21 and C=29?
29/21 or 1.38
400
A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is its angle of inclination to the nearest degree?
10*
400
What is the value for A of triangle ABC if a=53* and B=12?
15.92
500
What is angle b for triangle ABC if A=16 and B=13?
39.09*
500
What is the ratio of the cosecant of a equal to for traingle ABC if A=12, B=35 and C=37?
37/12 or 3.83
500
A person flying a kite has released 176 m of string. The string makes an angle of 27° with the ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest meter.
80m high 157m away
500
What is the value for A of triangle ABC if b=40 and B=20?
23.8