Solution - Heights and Distances

Account
Register

Share

Books Shortlist
ConceptHeights and Distances

Question

The angle of elevation of the top Q of a vertical tower PQ from a point X on the ground is 60. From a point Y, 40 m vertically above X, the angle of elevation of the top Q of tower is 45. Find the height of the tower PQ and the distance PX. (Use sqrt3=1.73)

Solution

You need to to view the solution
Is there an error in this question or solution?

Similar questions VIEW ALL

Two building are in front of each other on either side of a road of width 10 metres. From the top of the first building which is 40 metres high, the angle of elevation to the top of the second is 45°. What is the height of the second building?

view solution

Two stations due south of a leaning tower which leans towards the north are at distance a and b from its foot. If α, β be the elevations of the top of the tower from these stations, prove that its inclination θ to the horizontal is given by \text{cot }\theta =\frac{bcot alpha -a\cot \beta }{b-a}

view solution

If the elevation of the sun changed from 30º to 60º, then find the difference between the lengths of shadows of a pole 15 m high, made at these two positions

view solution

A person standing on the bank of river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60°. When he moves 40 m
away from the bank, he finds the angle of elevation to be 30°. Find the height of the tree and width of the river.  3=1.73

view solution

A balloon is connected to a meteorological station by a cable of length 200 m, inclined at 60º to the horizontal. Find the height of the balloon from the ground. Assume that there is no slack in the cable

view solution

Reference Material

Solution for concept: Heights and Distances. For the course 8th-10th CBSE
S