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Natali5045456 [20]
2 years ago
13

A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 92 feet from a building an

d 106 feet from the top of the building. What is the height h of the building? Round your answer to the nearest tenth. The building is about feet tall.
Mathematics
1 answer:
Ivahew [28]2 years ago
8 0

Answer:

55.64

Step-by-step explanation:

The range finder is 92 feet from the building and 106 feet from the top of the building i.e. hypotheses

We will use the Pythagorean theorem:

x^2 = 106^2 - 92^2

= 11,236 -  8,464

= 2,772

= √2,772

x = 52.64978632

The height of the building:

h = x + 3

= 52.64978632 + 3

= 55.64978632

or

≈ 55.64 feet

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