Question

Sam is looking at the roof of the adjacent building from top of his flat. his height is 5 feet. he knows that the height of his building and the distance between the two buildings is 50 feet. Sam measures the angle of elevation of his line of sight the other building to be 30° based on the information in the question, Find the height of Adjacent building​

Answer 1

answer has been pinned here ....

Answer 2

The height is 83.86 ft.

Step-by-step explanation:

Let the height of the unknown part of the building be 'x'.

Then, tan 30 = x/50

So $\frac{1}{\sqrt{3}}$ $= \frac{x}{50}$

x = 50/$\sqrt{3}$ = 28.86 m

Thus, the height of the adjacent building = height of Sam's building + height of Sam + unknown height calculated above

= 50 + 5 + 28.86

= 83.86 ft

(See attached figure)