Aruna bought a new building for her office she want to put a sign board of her company on the roof of building from point p on ground level the angle of elevation is roof of a building is 30° and top of sign board is 45° the point p is distance of building find height of building
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Given : sign board on the roof of building
the angle of elevation is roof of a building is 30° and top of sign board is 45° from point p
To Find : height of building
Solution:
height of building = h
height of sign board = x
Distance of point p = p
Tan 30 = h/p
=> 1/√3 = h/p
=> p = h√3
Tan 45 = (h+ x)/p
=> 1 = (h+ x)/p
=> p = h + x
=> h√3 = h + x
=> x = h (√3 - 1)
=> h = x/ (√3 - 1)
=> h = x(√3 + 1)/2
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Answer:
Step-by-step explanation:
see the above answer
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