Question

How do you solve the right triangle ABC (where C=90 degree) when A=31.5 degree, B=29.7 ft?

Answer 1

Solve right triangle knowing A = 31.5, b = 29.7
B = 58.5 deg

Explanation:

Find angle B, sides c and a.

B = 90 - A = 90 - 31.5 = 58.5 deg
In the right triangle ABC,
`tan A = a/b = a/29.7`--> `a = 29.7.tan (31.5) = 29.7(0.61) = 18.20`

`cos A = 0.85 = b/c = 31.5/c` --> `c = 31.5/(0.85) = 37.06`