Find the angle of elevation of the sum sun's altitude when the length of the shadow of a vertical pole is equal to its height
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Solution:
Consider AB as the pole and CB as its shadow
θ is the angle of elevation of the sun
Take AB = x m and BC = x m
We know that
tan θ = AB/CB = x/x = 1
So we get
Hence Proved
A statue, 1.6 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point the angle of elevation of the top of the pedestal is 45°. Find the height of the pedestal.
Let height of the pedestal BD be h metres, and angle of elevation of C and D at a point A on the ground be 60° and 45° respectively.It is also given that the height of the statue CD be 1.6 mi.e., ∠CAB = 60°,∠DAB = 45° and CD = 1.6mIn right triangle ABD, we have
In right triangle ABC, we have
Comparing (i) and (ii), we get
Hence, the height of pedestal