Answer:
The height of the building is 90.67ft
Explanation:
Given
[tex]\theta = 74^\circ[/tex]
[tex]d = 26[/tex]
Required
Determine the height of the nest
See attachment for illustration.
From the attachment, we have:
[tex]tan\theta = \frac{Opp}{Adj}[/tex]
This gives:
[tex]tan(74)= \frac{h}{26}[/tex]
Make h the subject
[tex]h = 26 * tan(74)[/tex]
[tex]h = 26 * 3.4874[/tex]
[tex]h = 90.6724[/tex]
[tex]h = 90.67[/tex]
The height of the building is 90.67ft
