Question

See picture for details!

Given the triangle, find the following:
B≈ *should be in degrees*
b≈
c≈
Round all answers to 3 decimal places

Answer 1

B = 80°

b = 11.343

c = 11.518

Explanation:

Given side a=2 and angle A=10° in a right triangle with the right angle at C, you want to know the measures of B, b, and c.

Angle sum

The sum of angles in a triangle is 180°, so we have ...

10° +B +90° = 180°

B = 180° -100°

B = 80°

SOH CAH TOA

This mnemonic is intended to remind you ...

Sin = Opposite/Hypotenuse

sin(10°) = 2/c

c = 2/sin(10°) ≈ 11.343

and

Tan = Opposite/Adjacent

tan(10°) = 2/b

b = 2/tan(10°) ≈ 11.518

The calculations are shown in the attachment.