Question

Which of the following trig expressions could be used to find m<7?

Answer 1

Answer:

Part 1) $m\angle Z=tan^{-1}(\frac{14}{6})$

Part 2) $m\angle Y=tan^{-1}(\frac{6}{14})$

Step-by-step explanation:

Part 1) Find the measure of angle Z

we know that

In the right triangle XYZ of the figure

The tangent of the angle Z is equal to divide the opposite side to angle Z by the adjacent side to angle Z

so

$tan(Z)=\frac{XY}{XZ}$

substitute the given values

$tan(Z)=\frac{14}{6}$

$m\angle Z=tan^{-1}(\frac{14}{6})$

Part 2) Find the measure of angle Y

we know that

In the right triangle XYZ of the figure

The tangent of the angle Y is equal to divide the opposite side to angle Y by the adjacent side to angle Y

so

$tan(Y)=\frac{XZ}{XY}$

substitute the given values

$tan(Y)=\frac{6}{14}$

$m\angle Y=tan^{-1}(\frac{6}{14})$