The base of a 40-foot ladder is 8 feet from the wall. how high is the ladder on the wall
(round to the nearest foot)?

The height of ladder on the wall is 39 feet .

Step-by-step explanation:

Given as :

The measure of the ladder = d = 40 feet

The ladder distance from the wall = x = 8 feet

Let The height of ladder on the wall = h feet

Let The angle made by ladder base with ground = Ф

Now, According to question

cos angle =

Or, cos Ф =

Or, cos Ф =

Or, cos Ф =

∴ Ф =

Now, Again

Sin angle =

Or, sin Ф =

Or, sin Ф =

Or, sin   =

Or, 0.9797 =  

∴  h = 0.9797 × 40

i.e h = 39.188 feet

So, The height of ladder on wall = h = 39 feet

Hence, The height of ladder on the wall is 39 feet . Answer

step-by-step explanation: