Chapter 74, Problem 18A

In each of the following exercises, the top, front, and right side views of a compound-angular hole are shown. Compute the required angles using these formulas:

$\tan \angle R=\frac{\tan \angle B}{\tan \angle A}$
$\tan \angle T=\sqrt{{\tan }^2\angle A+{\tan }^2\angle B}$

Given: $\angle B=23°00\text{'}$

$\angle R=33°10\text{'}$

a. Compute $\angle A.$
b. Compute $\angle T.$

Use this figure for Exercises 17, 18, and 19.