Question

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 ?

Answer 1

let h be the height of the building

tan 88.8  = h / 20
h = 20 * tan 88.8 = 954.79 feet

Answer 2

Answer:

The building is 954.8 feet tall .

Step-by-step explanation:

Now by using the trignometric identity

$tan \theta = \frac{Perpendicular}{Base}$

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 .

$tan\ 88.8^{\circ}= \frac{AB}{BC}$

$tan\ 88.8^{\circ}= \frac{AB}{20}$

tan 88.8 ° = 47.74 (Approx)

AB  = 20 × 47.74

AB = 954.8 feet

Therefore the building is 954.8 feet tall .