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natita [175]
2 years ago
14

Help please. only answer if you know :(

Mathematics
1 answer:
Harrizon [31]2 years ago
7 0

Answer:

<em>x = 437.3 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

In right triangles, where one of its internal angles measures 90°, the trigonometric ratios are satisfied.

We have completed the figure below with the missing internal angle A that measures A = 90° - 29° = 61° because the lines marked with an arrow are parallel.

Given the internal angle A, we can relate the unknown side of length x with the known side length of 500 ft, the hypotenuse of the triangle. We use the sine ratio:

\displaystyle \sin 61^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}

\displaystyle \sin 61^\circ=\frac{x}{500}

Solving for x:

x = 500 \sin 61^\circ

Calculating:

x = 437.3 ft

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