Answer: [tex]45.03\ ft[/tex]
Step-by-step explanation:
Given
The length of the shadow is 78 ft
the angle of elevation is [tex]\theta =30^{\circ}[/tex]
Suppose the height of the building is [tex]h[/tex]
From the figure, we can write
[tex]\tan 30^{\circ}=\dfrac{h}{78}\\\\h=78\tan 30^{\circ}\\\\h=45.03\ ft[/tex]
The height of the building is 45.03 ft
