Question

A 13.5-meter ladder leans against a brick wall and the ladder makes a 75 degree with the wall. The distance d the ladder goes up the wall is ___ meters. round your answer to the neartst tenth.

Answer 1

The distance that ladder goes up the wall is 13.03 meters

Explanation:

d = 0.9659 × 13.5 meters

∴ d = 13.03 meters

So,The distance that ladder goes up the wall = d = 13.03

Answer 2

The distance that ladder goes up the wall is 13.03 meters

Explanation:

Given as :

The measure of the ladder = h = 13.5 meters

The angle made by ladder with wall = Ф = 75°

Let The distance that ladder goes up the wall = d meters

Now, According to question

Sin angle =
`(\textrm perpendicular)/(\textrm hypotenuse)`

Or, SinФ =
`(\textrm d)/(\textrm h)`

Or, Sin 75° =
`(\textrm d)/(\textrm 13.5 meters)`

Or, 0.9659 =
`(\textrm d)/(\textrm 13.5 meters)`

Or, d = 0.9659 × 13.5 meters

∴ d = 13.03 meters

So,The distance that ladder goes up the wall = d = 13.03 meters

Hence,The distance that ladder goes up the wall is 13.03 meters Answer