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 .
