Question

Use the diagram to find the value of x to the nearest tenth of a foot.

a. 74.6 ft.
b. 5.3 ft.
c. 15.5 ft.
d. 73.3 ft.

Answer 1

a

Explanation:

Using the tangent ratio in the right triangle

tan15° =
`(opposite)/(adjacent)` =
`(20)/(x)` ( multiply both sides by x )

x × tan15° = 20 ( divide both sides by tan15° )

x =
`(20)/(tan15)` ≈ 74.6 ft ( to the nearest tenth of a foot )