Question

The measure of H=90°, the measure of G=80° and FG=75 feet. Find the length of HF to the nearest tenth of a foot

Answer 1

The length of HF is 73.9 feet.

Explanation:

Let the length of HF be represented by x. So that applying the appropriate trigonometric function to the triangle FGH, we have;

Sin θ =
`(opposite)/(hypotenuse)`

Where θ is the angle given in the triangle =
`80^(o)`.

Then,

Sin 80 =
`(x)/(75)`

⇒ x = Sin 80 x 75

= 0.9848 x 75

= 73.86

x = 73.9

Thus, the length of HF is 73.9 feet.