Home
Class 12
MATHS
Let AB be a vertical pole placed at poin...

Let AB be a vertical pole placed at point A on the ground. P and Q are two points on the ground such that points A, P and Q are collinear. Angles of elevation of ponit B (top of pole) from P and Q are `30^(@)` and `45^(@)` respectively. If distance P and Q is 2m, then height ofthe pole is

A

`(sqrt(3)+1)`m

B

`(sqrt(3) -1)`m

C

2m

D

1m

Text Solution

Verified by Experts

The correct Answer is:
A
PQ =x
`tan30^(@) = h/(x+h)`
`rArr x+h = sqrt(3h)`
`h=x/(sqrt(3)-1)`
Promotional Banner

Similar Questions

Explore conceptually related problems

P and Q are two points on the ground on either side of a pole. The angles of elevation of the top of the pole as observed from P and Q are 60^@ and 30^@ , respectively and the distance between them is 84 sqrt 3 m. What is the height (in m) of the pole?

A vertiacal pole is 60 m high, The angle of depression of two points P and Q on the ground are 30^(@) and 45^(@) respectively. If the points P and Q lie on either side of the pole, then find the distance PQ.

A pole stands vertically on a road, which goes in the north-south direction. P, Q are two points towards the north of the pole, such that PQ = b, and the angles ofelevation ofthe top ofthe pole at P, Q are a, B respectively. Then the height of the pole is:

There is a small island in the middle of a 100m wide river and a tall tree stands on the island.P and Q are points directly opposite to each other on two banks and in line with the tree.If the angles of elevation of the top of the tree from P and Q are respectively 30o and 45o , find the height of the tree.

A vertical pole stands on the level ground. From a point on the ground, 25m away from the foot of the pole , the angle of elevation of its top is found to be 60^(@) . Find the height of the pole.

P and Q are two points on the ground on either side of a pole. The angles of elevation of the top of the pole as observed from P and Q are 60^@ and 30^@ respectively and the distance between the objects is 84 sqrt3 m. The height (in m) of the pole ? P तथा Q एक खंभ के किसी भी एक तरफ भूमि पर स्थित दो बिंदु हैं | P और Q से देखने पर खंभ के शीर्ष का उन्नयन कोण क्रमशः 60^@ और 30^@ है तथा उनके बीच की दूरी 84 sqrt3 है| इस खंभे की ऊंचाई कितनी है ?