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Nikolay [14]
3 years ago
8

In downtown Charlotte, building inspectors must regulate the height of buildings. From the top of the BB&T building which is

200 meters high, the angle of depression to the bottom of the Hilton is 20 degrees. From the same point, the angle of elevation to the top of the Hilton is 10 degrees. Calculate the height of the Hilton.

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
5 0

Answer:

296.89 m

Step-by-step explanation:

assuming that both the buildings are on level ground (i.e their bases are at the same elevation), see attached.

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Answer:

x = 11.4

Step-by-step explanation:

The sum of the angles of any triangle must add up to 180°.  Since we have the expressions for each angle:  5x, 8x, and (2x +9), we can solve for the variable of 'x' by adding the expressions together and setting them equal to 180:

5x + 8x + (2x +9) = 180

Combine like terms:  15x + 9 = 180

Use inverse operations: 15x + 9 - 9 = 180 - 9

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Check:  5(11.4) + 8(11.4) + 2(11.4) + 9 = 57 + 91.2 + 22.8 + 9 = 180

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