Question

Find the value of x.

Answer 1

x ≈ 28°

Explanation:

We know the hypotenuse (the longest side) and the opposite (the side opposite x) so we can use SOH:

sine x = opposite ÷ hypotenuse

Substitute in the values:

sin x = 7 ÷ 15

sin x = 0.4666...

Now we can do the inverse of sine to find x:

x =
`sin^(-1)`(0.466..)

x = 27.818138... ≈ 28°

Hope this helps!