PQR is a triangular park with PQ = PR = 200 m. A TV tower stands at the mid-point of QR. If the angles of elevation of the top of the tower at P, Q and R are respectively `45^(@), 30^(@)` and `30^(@)`, then the height of the tower (in m) is
A
`50 sqrt(2)`
B
100
C
50
D
`100sqrt(3)`
Text Solution
Verified by Experts
The correct Answer is:
B
In the figure PQR is triangle park with PQ=PR = 200 TV tower to height 'h' stands at midpoint M of QR In triangle TMR, `MR=h cot 30 ^@` In triangle TMP, PM=TM=h In triangle PMR, `PR^2= PM^2+MR^2` `therefore 200^2= h^2+3h ^2` `therefore h= 100m `
PQR is a triangular park with PQ=PR=200m . A T.V tower stands at the mid-point of QR. If the angles of elevation of the top of the tower at P , Q and R respectively 45^@ , 30^@ and 30^@ then the height of the tower in m is
ABC is a triangular park with AB = AC = 100 m. A vertical tower is situated at the mid-point of BC. If the angles of elevation of the top of the tower at A and B are cot^(-1)(3sqrt(2)) and cosec^(-1)(2sqrt(2)) respectively, then the height of the tower (in m) is
the angle of elevation of the top of a tower at a point on the ground 50m away from the foot of the tower is 45^(@) . Then the height of the tower ( in meters ) is ………. .
If the angle of elevation of the top of a tower at a distance 500 metres from its foot is 30^@ then the height of the tower is
The angle of elevation of the top of a hill at a point on the ground 130 m away from the foot of the tower is 45^(@) . Then the height of the tower ( in meter ) is .........
From the top of a 12 m high building, the angle of elevation of the top of a cable tower is 60^(@) and the angle of depression of its foot is 30^(@) . Determine the height of the tower .
A tower stands vertically on the ground. From a point which is 15 meter away from the foot of the tower, the angle of elevation of the top of the tower is 45^(@) . What is the height of the tower?
From a point on the ground, the angle of at the top of a 30m high building are 45^(@) and 60^(@) respectively. Find the height of the tower. (sqrt(3)=1.732) .
