Maths
posted by Saurav .
On the horizontal plane there is a vertical tower is a vertical tower and the shadow of its is found to be 40 m longer.when sun's altitude is 30 degree than what it is 60 degree.find the height of tower.

draw a diagram. Let the height of the tower be h, and the length of shadow for a 60deg sun be x. Then we have
h/x = √3
h/(x+40) = 1/√3
√3 x = (x+40)/√3
3x = x+40
x = 20
h = 20√3 = 34.64m
Respond to this Question
Similar Questions

trig
the shadow of a tower is 2y meters longer at 30 degree than when it was at 45 degree. find the height of the tower 
maths
The shadow of a tower standing on a level ground is found to be 2x meters longer when sun's altitude is 30 degree than when it was 45 degree.Find the height of the tower. 
math
two points A and B 80 ft. apart lie on the same side of a tower and in a horizontal line through its foot. if the angle of elevation of the top of the tower at A is 21 degree and B is 46 degree, find the height of the tower. 
Trigonometry
A 30foot flagstaff is fixed in the center of a circular tower 40 feet in diameter. From a point in the same horizontal plane as the foot of the tower the angles of elevation of the top of the flagstaff and the top of the tower are … 
maths
Q vertical pole and a tower are on the same level Ground.from the top of the pole angle of elevation of the top of the tower is 60 degree and the angle of depression od foot of the tower is 30 degree.find the height of the tower if … 
atbu bauchi
when the angle of elevation is 30 degree the shadow of a vertical tower is 20m longer than when the elevation of the sun is 60 degree.find the height of the tower 
maths
from a top of a vertical tower the angles of depression of two cars in the same straight line with the base of the tower at an instant are found to Ber 45 degree and 60 degree if the cars are 100 m apart and are on the same side of … 
trigonometry
The shadow of a vertical tower is 65 ft long when the angle of elevation of the sun is 35 degrees. Find the height of the tower 
trigonometry(height and distance)
The shadow of a tower when the angle of elevation of the sun is 45 degree is found to be 5m longer when it is 60 degree. Find the height of the tower. 
trigonometry(height and distance)
The shadow of a tower when the angle of elevation of the sun is 45 degree is found to be 5m longer when it is 60 degree. Find the height of the tower.