SOLUTION: betty observed that the lamp post in front of her house cast a shadow of length 8 feet when the angle of inclination of the sun is 60 degrees. How tall is the lamp post? (In a 30-

Question 62051: betty observed that the lamp post in front of her house cast a shadow of length 8 feet when the angle of inclination of the sun is 60 degrees. How tall is the lamp post? (In a 30-60-90 right triangle, the side opposite 30 is 1/2 the length of the hypotenuse.
Answer by dolly(163) (Show Source): You can put this solution on YOUR website!
The scenario picturizes a right triangle.
The length of the shadow = base of the triangle = 8 feet.
angle of inclination = 60 degrees.
Height of the lamp post = height of the triangle.
The side opposite to 30 degrees is the base of the triangle = 8ft.
Given this is half the hypotenuse.
That is hypotenuse = 2* 8
= 16 ft.
By Pythagorean theorem,
The height = sqrt [(hypo)^2 - (base)^2 ]
==> ht = sqrt [ 16^2 - 8^2]
==> = sqrt [256 - 64]
==> = sqrt [ 192 ]
==> = sqrt [ 64*3]
==> = sqrt [64] * sqrt(3)
==> = 8 * 1.732
==> = 13.856
The ht of the lamp post = 13.86 ft.

RELATED QUESTIONS
betty observed that the lamp post in front of her house cast a shadow of length 8 feet... (answered by Nate)

Betty observed that the lamp post in front of her house cast a shadow of length 8 feet... (answered by stanbon)

Height of a post. Betty observed that the lamp post in front of her house casts a shadow... (answered by fractalier)

REPOST: Height of a post. Betty observed that the lamp post in front of her house casts a (answered by saltzy57)

Betty observed that the lamp post in front of her house casts a shadow of length 8 feet... (answered by Flake)

Jan observed that the lamp post in front of her house casts a shadow of length 8 feet... (answered by uma)

146. Height of a post. Betty observed that the lamppost in the front of her house cases a (answered by Earlsdon,stanbon,Edwin McCravy)

There are two lamp posts (A and B) both 9.6m tall. When a man 1.6m tall stand X meters... (answered by ankor@dixie-net.com)

A tree in front of Michelle house cast a shadow 18 ft long. If michelle is 5 ft 6 in and... (answered by algebrapro18)