Question

A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65˚. how tall is the tower?

Answer 1

70 ft i think

Explanation:

Answer 2

128.67 ft

Explanation:

Topic: Trigonometric Functions

You should be familiar with the concept of trigonometric functions because this topic involves degrees of traingles with the lenght of their sides, as you can see in the image, you need to remember which trigonometric function involves both sides (not hypotenuse) of a triangle, let's review

O= opposite, A = adjacent, H = Hypotenuse, α = 65°

sen (α) =
`(O)/(H)`

cos(α) =
`(A)/(H)`

tan(α) =
`(O)/(A)`

guess which of them works? yeah its tan(α), so we have that

tan(65°) =
`(h)/(60 ft)`

findig h in the previous equation we have that

60 ft * tan(65°) = h

computing in a calculator it means that the height (h) of the tower is

h = 128. 67 ft