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jessica is standing 20 feet away from a skyscraper in new york when she measures the angle to the top of the building as 88.8 . how tall is the building ?

User Scozy
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2 Answers

3 votes
let h be the height of the building

tan 88.8 = h / 20
h = 20 * tan 88.8 = 954.79 feet
User Songololo
by
8.6k points
5 votes

Answer:

The building is 954.8 feet tall .

Explanation:

Now by using the trignometric identity


tan \theta = (Perpendicular)/(Base)

As given

jessica is standing 20 feet away from a skyscraper in new york when she measures the angle to the top of the building as 88.8 ° .


\theta = 88.8^(\circ)

Perpendicular = AB

Base = BC = 20 feet

Put all the values in the trignometric identity .


tan\ 88.8^(\circ)= (AB)/(BC)


tan\ 88.8^(\circ)= (AB)/(20)

tan 88.8 ° = 47.74 (Approx)

AB = 20 × 47.74

AB = 954.8 feet

Therefore the building is 954.8 feet tall .

jessica is standing 20 feet away from a skyscraper in new york when she measures the-example-1
User Squti
by
8.0k points
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