A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from

Question

4 years ago

11

A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from

the top of the building to the end of the shadow it creates is at a 32° angle with the ground. What is the approximate height of the building? Round your answer to the nearest meter.

Mathematics

2 answers:

Pepsi [2] · Answer 1 · 2022-02-23T21:58:45+03:00

Pepsi [2]4 years ago

8 0

A shadow measures 88 m: d = 88 m.
The angle : α = 32°
We will use trigonometry:
h / d = tan α
h / 88 m = tan 32°
h / 88 m = 0.62489
h = 88 m * 0.62489
h = 54.9885 m ≈ 55 m
Answer: The approximate height of a building is 55 meters.

evablogger [386] · Answer 2 · 2022-02-23T23:12:42+03:00

evablogger [386]4 years ago

7 0

Answer:

55 m

Step-by-step explanation:

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