Answer:
the height of the monument is equal to 554.89 ft.
Explanation:
given,
distance from monument = 0.5 mile
angle of elevation = 11.87°
height of the monument = ?
tan θ = [tex]\dfrac{P}{B}[/tex]
tan 11.87° = [tex]\dfrac{h}{0.5}[/tex]
h = 0.2101 × 0.5
h = 0.1051 mile
we know,
1 mile = 5280 ft
h = 0.1051 × 5280 = 554.89 ft
hence , the height of the monument is equal to 554.89 ft.
The height of the monument to nearest foot is 554.89 ft.
The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
Given that :
Distance from monument = 0.5 mile
Angle of elevation = 11.87°
Then,
Height of the monument = ?
We know that:
tan θ = P / B
tan 11.87° = h / 0.5
h = 0.2101 × 0.5
h = 0.1051 mile
We also know that :
1 mile = 5280 ft
h = 0.1051 × 5280
h = 554.89 ft
Hence , the height of the monument is equal to 554.89 ft.
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