Question

What is the height of wall where is a ladder touch the wall if the ladder is 2.5 longs make an angel of 60 degree with the ground

Answer 1

Answer:

2.1650m

Step-by-step explanation:

I have written quite fast but don't mind it is readable and please follow me I have I have give the solution by image .

Answer 2

$\sf\large\underline{Given:}$

$\tt{\implies Length\:of\:ladder=2.5m}$

$\tt{\implies \angle\:of\: elevation\: from\:the\: ground=60\degree}$

$\sf\large\underline{To\: Find:}$

$\tt{\implies The\: height\:of\:wall=?}$

$\sf\large\underline{Solution:}$

• Here according to the refer to the attachment AB is a wall and AC is length of ladder. Angle of elevation is 60° from the ground.

$\tt{\implies In\: right\: angle\triangle\:ABC}$

$\tt{\implies Sin\theta=\dfrac{AB}{AC}}$

$\tt{\implies Sin60\degree=\dfrac{AB}{2.5}}$

$\tt{\implies \dfrac{\sqrt{3}}{2}=\dfrac{AB}{2.5}}$

$\tt{\implies 2AB=\sqrt{3}(2.5)}$

• Here we take √3=1.732]

$\tt{\implies 2AB=1.732\times\:2.5}$

$\tt{\implies 2AB=4.33}$

$\tt{\implies AB=2.165m}$

$\sf\large{Hence,}$

$\bf{\implies The\: height\:of\:the\:wall=2.165m}$