solve this Q of lesson heights and distances
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Step-by-step explanation:
Let the height of the man = AD = 2 m.
∴ CE = 10 - 2 = 8 m.
(i)
In ΔCED,
CE/DE = tan x° = 2/5
⇒ (8/DE) = 2/5
⇒ 40 = 2 * DE
Here, AB = DE
∴ AB = 20 cm
(ii)
Let A'D be the new position of man and θ be the angle of elevation of the top of tower.
So,
D'E = 15 m
In ΔCED,
tan θ = CE/D'E
tan θ = 8/15
tan θ = 0.533
θ = 28°
Therefore,
Angle of elevation θ = 28°
Hope it helps!
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