Question

What is the value of x? Enter your answer as a decimal to the nearest tenth in the box. ft Right triangle A B C with right angle at angle B. Angle A is 36 degrees. A B is 15 feet. B C is labeled x.

Answer 1

Answer:

x = 10.9

Step-by-step explanation:

Since the triangle is right, use the tangent ratio to find the value of x

tan36° = $\frac{opposite}{adjacent}$ = $\frac{BC}{AB}$ = $\frac{x}{15}$

Multiply both sides by 15

15 × tan36° = x

⇒ x = 10.9 ( to nearest tenth )