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oksano4ka [1.4K]
3 years ago
5

What is the actual height of the lighthouse

Mathematics
2 answers:
Charra [1.4K]3 years ago
5 0

Answer:

239 Feet

Step-by-step explanation:

Zanzabum3 years ago
3 0

Answer:

  Lighthouse 82.5 metres (271 ft)

Step-by-step explanation:

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The answer you selected is correct

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Point Q’ is the image of Q (3,-4) under a reflection across the x-axis
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Q' (-3,4)

Step-by-step explanation:

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7 0
3 years ago
a person is standing on top of a smaller building looking across the street at a taller building, which is 260 feet away horizon
Anuta_ua [19.1K]

The height of the smaller building is <u>94.63 feet</u>, computed using the trigonometric ratios.

In the question, we take AB to be the taller building, where A is its top and B is its base, CD to be the shorter building, where C is its top and D is its base, and CE to be the perpendicular from C to AB.

Given that the horizontal distance between the two buildings is 260 feet, we can say that BC = CE = 260 feet.

The angle of elevation from the top of the shorter building to the top of the taller building is 30°, that is, ∠ECA = 30°.

The angle of depression from the top of the shorter building to the base of the taller building is 20°, that is, ∠ECB = 20°.

When ∠ECB = 20°, then ∠CBD = 20°, as they are alternate angles.

We are asked to find the height of the shorter building, that is, we are asked to find CD.

In ΔCBD,

tan ∠CBD = CD/BD {perpendicular/base},

or, tan 20° = CD/260,

or, CD = 260*tan 20° = 260*0.36397023426 {∵ tan 20° = 0.36397023426},

or, CD = 94.6322609092.

Therefore, the height of the smaller building is <u>94.63 feet</u>, computed using the trigonometric ratios.

Learn more about heights and distances at

brainly.com/question/2004882

#SPJ4

7 0
2 years ago
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