Kayson is looking at two buildings, building A and building B, at an angle of elevation of 59°. Building A is 40 feet away, and building B is 60 feet away. What building is trailer and by approximately how many feet

Question

Mathematics

Leilani Arroyo

15 October, 14:00

Kayson is looking at two buildings, building A and building B, at an angle of elevation of 59°. Building A is 40 feet away, and building B is 60 feet away. What building is trailer and by approximately how many feet

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Answers (1)

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Gould · Answer 1

The buildind B is taller, by approximately 33.286 feet

Step-by-step explanation:

To find the height of the buildings, we can use the tangent relation of the angle of elevation. The opposite side is the height of the building, and the adjacent side is the distance to the building:

Using h_A to the height of building A and h_B to the height of building B, we have:

tan (59) = h_A / 40

1.6643 = h_A / 40

h_A = 66.572 feet

tan (59) = h_B / 60

1.6643 = h_B / 60

h_B = 99.858 feet

The buildind B is taller, by approximately (99.858 - 66.572) = 33.286 feet