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 =(Perpendicular)/(Hypotenuse)`

In the given triangle,

`\sin 40^\circ =(500)/(x)`

`x=(500)/(\sin 40^\circ )`

`x=(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.