Answer:
Height of the empire building = 1505.57 ft
Explanation:
Jada is visiting new York city to see the empire state building . She is 100 ft away when the she spots it. To see the top she has to look at an angle of 86.2° . The illustration forms a right angle triangle.
The height of the empire can be gotten below.
the adjacent side of the triangle formed = 100 ft
The side we are looking for is the opposite side which is the height of the empire state building. The angle formed is the angle of elevation from the ground to the top which is 86.2°
Using SOHCAHTOA principle the height can be gotten with the tangential degree.
tan 86.2° = opposite/adjacent
tan 86.2° = a/100
a = 100 tan 86.2
a = 100 × 15.0557227245
a = 1505.57227245
a ≈ 1505.57 ft
Height of the empire building = 1505.57 ft