contestada

The angle of elevation to the top of a building is found to be 40° from the ground at a distance of 650 feet from the base of the building. Using this information, which expression below could be used to calculate the height of the building?

Respuesta :

OmegaAzzy

We would use tan for this.

Tan 40* = x/650

Tan 40* = 0.839

We will multiply both sides by 650

Tan 40* (0.839) * 650 = x

After doing the math

Tan 40* (545.414) = x

The height of the building is 545.414

The height of the building is 545.414 units

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

We would use the tangent function for this.

The angle of elevation = 40°

Distance from the base of the building = 650 feet

Let  the height of the building is H

tan θ = perpendicular/ base

Here the height of the building is perpendicular and the base is the distance from the base of the building

So, tan 40 = H/650

Where value of tan 40° = 0.839

0.839 = H/650

Substitute the value of tan 40°

(0.839)×650 = H

545.414 = H

H = 545.414

Hence, the height of the building is 545.414 units

Learn more about the right triangle here:

brainly.com/question/6322314

#SPJ2

Otras preguntas