Question

In the triangle below, x=?. Round to the nearest tenth.
Please help!!

Answer 1

58 deg

Explanation:

Look at x and then look at the sides that are given... 9 is adjacent and 17 is the hypotenuse so use cosine.

cos(x)=9/17

To solve for x just use arccos( ) or cos^(-1)

Type cos^(-1)(9/17) into calc to receive answer (make sure mode is in degrees)

The answer should come to be roughly 58 deg.

Answer 2

x ≈ 58.0°

Explanation:

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

cosx° =
`(adjacent)/(hypotenuse)` =
`(9)/(17)`, thus

x =
`cos^(-1)` (
`(9)/(17)` ) ≈ 58.0°