Answer:
The height of the building to the nearest foot is 99 feet.
Step-by-step explanation:
Height of the building , p= x
Distance between the base of the height from where angle of elevation is 67° = b = 42 ft
According trigonometric ratios:
[tex]\tan \theta =\frac{p}{b}[/tex]
[tex]\tan 67^o=\frac{x}{42 ft}[/tex]
(tan 67° = 2.3558)
[tex]x=2.3558\times 42 ft=98.94 ft\approx 99 ft[/tex]
The height of the building to the nearest foot is 99 feet.
