74.1k views
2 votes
A 10 foot vertical post cast a 2 foot shadow at the same time a nearby cellphone tower cast a 116 foot shadow. How tall is the cell phone​

User Sgnsajgon
by
7.1k points

2 Answers

6 votes

Answer:

580 ft.

Explanation:

The height of the cellphone tower can be found using the following proportion:

(shadow of cellphone tower) / (shadow of 10 foot post) = (height of cellphone tower) / (10 feet)

Solving for the height of the cellphone tower:

(116 feet) / (2 feet) = (height of cellphone tower) / (10 feet)

Which brings us to:

116 ÷ 2 = x ÷ 10

58 = x ÷ 10

580 = x

The cell phone tower is 580 ft.

User LonelyCpp
by
7.8k points
3 votes

Answer:23.2

Explanation:

10/2=5

10/5=2

116/5=23.2

User Chitra
by
7.0k points