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?

Question

Mathematics

Greta Wallace

15 December, 04:40

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?

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Answers (1)

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Deon Swanson · Answer 1

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