trig
posted by Cas' .
When the sun's angle of elevation is 30 degree the shadow of a post is 6 ft longer than when the angle is 45
degree. find the height of the post

let the height of the post be h ft, let the length of the shadow be x
when angle is 45°, the height of the post and its shadow would be equal, so x = h at 45°
at 30°, length of shadow = h+6
tan 30 = h/(h+6)
1/√3 = h/(h+6)
√3h = h + 6
√3h  h = 6
h(√3  1) = 6
h = 6/(√3  1) = appr. 8.2 ft
√3h  h =
Respond to this Question
Similar Questions

math/trig
A 16 ft ladder casts a shadow 44 ft with the sun angle of elevation is 60.5 degrees. Find the height of the flagpole and at what angle is the shadow twice as long? 
math/trig
A flagpole casts a shadow 44 ft with the sun angle of elevation is 60.5 degrees. Find the height of the flagpole and at what angle is the shadow twice as long? 
Math 12
A tree growing on a slope of 13 degree to the horizontal is 14m tall. Find the length of the shadow it casts up the hill when the sun is at an angle of elevation of 30 degree. (The shadow is cast directly up the slope by the sun) 
math
the shadow of an electric pole is 5m long when the angle of elevation of the sun is 60 degree .find the length of the shadow when the angle of elevation of the sun is 45 degree. 
trigonometric oblique triangle
a flagpole at a right angle to the hrizontal is located on a slope that makes an angle of 14 degree with the horizontal the flagpole casts a 16m shadow up the slope wen the angle of elevation from the tip of the shawdow to the sun … 
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 
Math
The angle of elevation of the top of a flagpost from a point on a horizontal ground is found to be 30 degree. On walking 6m towards the post, the elevation increased by 15 degree. Find the height of the flagpost. 
Trig
When the angle of elevation of the sun is 61°, a telephone pole that is tilted at an angle of 8° directly away from the sun casts a shadow 20 feet long. Determine the length of the pole to the nearest foot. I'm stuck halfway through … 
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.