Question

Help please. only answer if you know :(

Answer 1

x = 437.3 ft

Explanation:

Right Triangles

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=(x)/(500)`

Solving for x:

`x = 500 \sin 61^\circ`

Calculating:

x = 437.3 ft