Question

In the figure shown below, M < 40 and AB =8. Which equation could be used to find x?

Answer 1

B

Explanation:

Since the triangle is right use the tangent ratio to solve for x

∠A = 180° - (90 + 40)° = 180° - 130° = 50°

tan50° =
`(opposite)/(adjacent)` =
`(x)/(8)`

multiply both sides by 8

x = 8tan50° → B