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MatroZZZ [7]
2 years ago
9

Can some one please help me

Mathematics
1 answer:
Tasya [4]2 years ago
6 0

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.

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