Hari is eating ice at eeseva the length of her shadow is 3feets and angle of elevation is 45 degrees then the height of hari is
Answers
Step-by-step explanation:
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Answer:
Step-by-step explanation:
The tower is 30 m away from the building. The height of the tower is 46.5 m
Height of the building, BC = 9.2 m
Hari’s height, AB = 1.6 m
The angle of elevation of the top of the tower, ∠GAF = 50°
The angle of depression of the foot of the tower, ∠FAD = ∠ADC = 20° … [since AF // CD]
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Since AF // BE // CD, then let the distance between the tower and the building be CD = AF = “x” m.
Also, AB // FE, ∴ AB = FE = 1.6 m and BC // ED, ∴ BC = ED = 9.2 m
Let the height of the tower, GD = GF + FE + ED
:
Consider ∆ ACD, applying the trigonometry property of the triangle, we get
tan θ = \frac{Perpendicular}{Base} = \frac{AC}{CD}
Base
Perpendicular
=
CD
AC
⇒ tan 20° = \frac{1.6 + 9.2}{x}
x
1.6+9.2
⇒ 0.36 = \frac{10.8}{x}
x
10.8
…… [tan 20° = 0.36 given]
⇒ x = \frac{10.8}{0.36}
0.36
10.8
⇒ x = CD = AF = 30 m
, the tower is 30 m away from the building.
Consider ∆ AGF, applying the trigonometry property of the triangle, we get
tan θ = perpendicular/base = \frac{Perpendicular}{Base} = \frac{GF}{AF}
Base
Perpendicular
=
AF
GF
⇒ tan 50° = \frac{GF}{30}
30
GF
⇒ 1.19 = \frac{GF}{30}
30
GF
…… [tan 50° = 1.19 given]
⇒ GF = 1.19 * 30
⇒ GF = 35.7 m
The height of the tower "GD" is given as,
= 35.7 + 1.6 + 9.2
= 46.5 m