Answer:
h = 440.94 feet
Step-by-step explanation:
It is given that,
An architect is standing 370 feet from the base of a building, x = 370 feet
The angle of elevation is 50°.
We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}[/tex]
So, the approximate height of the building is 440.94 feet
