Question

Please put step by step I NEED HELP PLEASE

Answer 1

For the given triangle, x measures 437.3 feet.

Explanation:

Step 1:

The total angle of a right-angle is 90°. There is a right angle at the top of the triangle.

The sum of the top angle of the triangle and the given 29° is 90°.

So the angle of the triangle
`= 90 - 29 = 61.`

So the angle of the triangle at the top end is 61°.

Step 2:

For the top angle, x is its opposite side while the hypotenuse is represented by the side measuring 500 feet.

To determine the value of x, we determine the sine of the angle.

`sin \theta= (oppositeside)/(hypotenuse) .`

`sin 61 = (x)/(500) , sin 61 = 0.874.`

`x = (0.8746)(500) = 437.3`

So rounding this off, we get x measures 437.3 feet.