In triangle fgh, fh = 8 ft, fg = 13 ft, and m f = 72°. find m g. round your answer to the nearest tenth.

35.9°

Step-by-step explanation:

The triangle is shown below.

Using cosine rule for the triangle ΔFGH,

Plug in 8 ft for FH, 3 ft for FG and 72° for ∠F. Solve for GH.

⇒

Now, we use sin rule and evaluate ∠G.

Sine rule is given as,

Plug in 8 ft for FH, 12.99 ft for GH and 72° for ∠F. Solve for ∠G.

This gives,

∴ °

Therefore, the measure of angle G is 35.9°

its an acute right triangle

step-by-step explanation:

4+4+2x

or

2x+8

step-by-step explanation: