Question

What is the measure of angle D?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answer 1

29.05°

Explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and side lengths in a right triangle. In your triangle, the sides adjacent and opposite angle D are given. The relevant relation is ...

Tan = Opposite/Adjacent

__

Using the given values, we have ...

tan(D) = (25 ft)/(45 ft) = 5/9

The value of the angle is found using the inverse tangent function.

D = arctan(5/9) ≈ 29.05°

The measure of angle D is about 29.05°.