Question

Triangle ABC is a right triangle. Find the measure of side b. Round to the nearest hundredth.

A) 6.13 cm
B) 6.71 cm
C) 9.53 cm
D) 10.54 cm
E) 12.45 cm

Answer 1

Applying the trigonometric functions, 8/b=Tan40

b=8/Tan40

Answer 2

C) 9.53 cm

Explanation:

We know this is a right triangle, so we can use trig relations

tan A = opposite side/ adjacent side

tan 40 = 8/b

Multiply each side by b

b tan 40 = 8

Divide each side by tan 40

b tan 40 / tan 40 = 8 / tan 40

b = 8/ tan 40

b = 9.534028741