Question

Let angle D be an acute angle and tan D = 0.72 . Use technology to approximate the measure of D to the nearest 10th of a degree.

Answer 1

D=35.8 °

Step-by-step explanation

Acute angles measure less than 90 degrees, to solve this we need to use a calculator

Step 1

a) let

`\begin{gathered} angle\text{ =D} \\ tan\text{ angle = }tan\text{ D=0.72} \end{gathered}`

, b) now, use the inverse tan function to isolate D

`\begin{gathered} tan\text{ D=0.72} \\ inverse\text{ tan function in both sides} \\ \tan^(-1)(tan\text{ D\rparen=}\tan^(-1)(\text{0.72\rparen} \\ D=35.75388 \\ rounded \\ D=35.8\text{ \degree} \end{gathered}`

so, the answer is

D=35.8 °

I hope this helps you