Question

Let $\angle D$ be an acute angle such that $\tan D=0.72$ . Use a calculator to approximate the measure of $\angle D$ to the nearest tenth of a degree.

Answer 1

D = 35.8 degrees

Explanation:

In this question, we are asked to use calculator to estimate the approximate measure of angle D given its tan value.

From the question, what we have is;

tan D = 0.72

Now to calculate the acute angle D, we will divide through by tan

hence,

D = tan^-1 0.72

or more simply tan^-1 can be called arc tan

Thus, D = arc tan 0.72

D = 35.75

D = 35.8 to the nearest tenth of a degree