The angle of elevation of the top P of a vertical tower.

In the adjoining figure, the angle of elevation of the top P of a vertical tower from a point X is 60° ; at a point Y, 40 m vertically above X, the angle of elevation is 45°. Find
(i) the height of the tower PQ
(ii) the distance XQ
(Give your answer to the nearest metre)

Solution:

Let PQ be the tower and let PQ = h
and XQ = YR = y
XY = 40 m
∴ PR = h – 40

More Solutions:

• The mean of the numbers 6, y, 7, x, 14 is 8.
• Find the mean of 25 given numbers when the mean of 10.
• To determine the number of matches they contained.
• Calculate the mean for this distribution.
• Calculate the mean wage correct to the nearest rupee.
• Find the value of the missing variate.