Question

A flag pole is attached to the side of a building 5.00 ft off the ground and it hangs down 30 degrees from the vertical. If the pole is 6.00 ft in length, how high in feet is the top of the pole at its highest point (sticking out from building)? (Hint: draw a picture) E​

Answer 1

h ’= 0.6963 m

this is the height of the part of the post it supports.

Step-by-step explanation:

For this exercise we can use the trigonometric relationships

Let's start by finding the vertical component of the height of the pole

cos 30 = x / L

x = L cos 30

x = 6 cps 30

x = 5.196 m

with this length, the post has the same height as the building, so there are

Aₓ = L -x

Δx = 6 -5.196

Δx = 0.804 ft

the height of this section is

cos 30 = h ’/ Dx

h ’= 0.804 cos30

h ’= 0.6963 m

this is the height of the part of the post it supports.