Question

A 80m long ladder is leaning on a wall.if the ladder makes an angel of 45 degrees with the ground,find the distance of the ladder from the wall​

Answer 1

Answer:

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Answer 2

Answer:

The distance of the ladder from the wall is$40\sqrt{2}$ m

Step-by-step explanation:

Given: A 80m long ladder is leaning on a wall. If the ladder makes an angel of 45 degrees with the ground,

To find: Distance of the ladder from the wall

Solution:

Here,$\cos \theta=\frac{\text { Base }}{\text { Hypotenuse }}$

$\cos 45^{\circ}=\frac{\text { Base }}{80}$

Base$=80 \cos 45^{\circ}=\frac{80}{\sqrt{2}}=40 \sqrt{2}$

Therefore,  the distance of the ladder from the wall $=40 \sqrt{2} \mathrm{~m}$