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

What is the value of x?

Enter your answer as a decimal to the nearest tenth in the box.

10.9 ft

Answer 2

x = 10.9

Explanation:

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

tan36° =
`(opposite)/(adjacent)` =
`(BC)/(AB)` =
`(x)/(15)`

Multiply both sides by 15

15 × tan36° = x

⇒ x = 10.9 ( to nearest tenth )