Given the height of the person, angle of elevation and distance from the building, the height of the building is 60 feet.
What is the height of the building?
Given the data in the question;
- Angle of elevation θ = 35°
- Distance between the person and the building | Adjacent = 80ft
- Height of the person h = 4ft.
- Height of the building from the eye level | opposite = x
Since the scenario depicts a right angle triangle, we use trigonometric ratio.
tanθ = Opposite / Adjacent
We height of the building from the eye level x
Substitute given into the equation,
tan( 35 ) = x / 80ft
x = tan( 35 ) × 80ft
x = 0.7002075 × 80ft
x = 56ft
Now, to get the height of the building, we add the height of the person and the height of the building from the eye level of the person.
Height of building = x + 4ft
Height of building = 56ft + 4ft
Height of building = 60ft
Therefore, given the height of the person, angle of elevation and distance from the building, the height of the building is 60 feet.
Learn more about trigonometric ratio here: brainly.com/question/28016662
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