Question

a 12-foot board rests against a wall. The angle that the board makes with the ground is 60. How far is the base of the board away from the wall?

Answer 1

6 foot away

Explanation:

A board AC with measure of 12 foot rests against the wall.

The angle that board makes with the ground is 60°

Then we have to calculate the distance ( BC) of board from the wall.

Cos 60° =
`(BC)/(AC)`

`(1)/(2)` =
`(BC)/(12)`

BC =
`(12)/(2)`

= 6 foot

Therefore, board is 6 foot away from the wall.

Answer 2

ground = 6.928 ft

Explanation:

tan 60 = opposite/ adjacent

tan 60 =12/ ground

multiply by ground

ground * tan 60 = 12

divide by tan 60

ground = 12/tan 60

ground = 6.928 ft