Question

Can some one please help me

Answer 1

Given:

A figure of a right triangle with perpendicular 500 m  and hypotenuse x.

To find:

The value of x.

Solution:

If a transversal line intersect two parallel lines, then alternate interior angles are congruent.

Using the above definition the measure of angle opposite to the perpendicular is 40 degrees.

In a right angle triangle,

$\sin \theta =\dfrac{Perpendicular}{Hypotenuse}$

In the given triangle,

$\sin 40^\circ =\dfrac{500}{x}$

$x=\dfrac{500}{\sin 40^\circ }$

$x=\dfrac{500}{0.6427876}$

$x=777.8619$

Round the value to the nearest tenth.

$x\approx 777.9$

Therefore, the value of x is 777.9 m.