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

Answer:

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

Step-by-step 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 = $\dfrac{\textrm Base}{\textrm Hypotenuse}$

I.e Cos 80° = $\dfrac{\textrm BA}{\textrm AC}$

Or, 0.1736 =  $\dfrac{\textrm x}{\textrm 28}$

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