Chapter 9.9, Problem 11PSB

a

To determine

To find:The value of $m\angle A$

Answer to Problem 11PSB

The value of $m\angle A={45}^0$

Explanation of Solution

Given information:The following value has been given

  $\tan \angle A=1$

Formula used:No formula has been used. Simply values have been taken from the trigonometric tables.

Calculation:We find the value of $m\angle A$ as

  $m\angle A={\tan }^{-1}(1)$

And, we find from the trigonometric tables, that

  ${\tan }^{-1}(1)={45}^0$

Hence, we can say that

  $m\angle A={45}^0$

b

To determine

To find:The value of $m\angle P$

Answer to Problem 11PSB

The value of $m\angle P={30}^0$

Explanation of Solution

Given information:The following value has been given

  $\sin \angle P=0.5$

Formula used:No formula has been used. Simply values have been taken from the trigonometric tables.

Calculation:We find the value of $m\angle P$ as

  $m\angle P={\sin }^{-1}(0.5)$

And, we find from the trigonometric tables, that

  ${\sin }^{-1}(0.5)={30}^0$

Hence, we can say that

  $m\angle P={30}^0$