Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

# the base of a ladder is 10 ft away from a vertical building. The top of the ladder rests at the top of the building. full question below?

the base of a ladder is 10 ft away from a vertical building. The top of the ladder rests at the top of the building. The angle of elevation of the ladder from the bottom of the ladder to the top of the building is 70 degrees∘.

What is the height of the building?

Round to the second decimal place.

A)32.14 ft

B)53.30 ft

C)27.47 ft

D)13.94 ft

Relevance

The base of a ladder is 10 ft away from a vertical building.

The top of the ladder rests at the top of the building.

The angle of elevation of the ladder from the bottom of the ladder

to the top of the building is 70 degrees.

h = 10 tan 70 = 27.4747742 = 27.47 (rounded to the second decimal place).

The height of the building:

C) 27.47 ft

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• h = 10 tan 70 = 27.4747742 = 27.47 (rounded to the second decimal place).

The height of the building:

C) 27.47 ft

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• Height of building: tan(70) times 10 = 27.47 ft which is option C)

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• tan(70 degees) = h / 10

h = 10(tan(70)) = 27.47 ft (C)

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