Question

a 28 ft. ladder leaning against a vertical wall makes an angel of 80 degrees with the ground. How far from the base of the wall is the foot of the ladder?

Answer 1

The ladder is 4.86 foot from the base of the wall .

Explanation:

Given as :

The length of the ladder = 28 ft

The ladder makes angle of 80° with the ground

Let The distance of the ladder from the foot of the wall = x ft

Now, From Triangle BAC

Cos angle =
`(\textrm Base)/(\textrm Hypotenuse)`

I.e Cos 80° =
`(\textrm BA)/(\textrm AC)`

Or, 0.1736 =
`(\textrm x)/(\textrm 28)`

Or, x = 0.1736 × 28

∴ x = 4.86 foot

So, The distance of ladder from wall base = x = 4.86 foot

Hence The ladder is 4.86 foot from the base of the wall . Answer