Question

The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is ___ m. Type your answer below!

Answer 1

Answer:

Angle = 60º and distance between wall and ladder= 4.6 m.

Length of ladder= 2 x distance between wall and ladder

= (2 x 4.6) m

= 9.2 m.

Step-by-step explanation:

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Answer 2

Question

The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is ___ m.

Answer

$\rm{ \underline{Given}}$

$\rm{Theta(\theta)=60°}$

$\tt{Taking~the~foot~of~the~ladder~as~base}$

$\rm{Base=4.6m}$

$\tt{Taking~the~length~of~the~ladder~as~hypotenuse}$

$\rm{Hypotenuse=?m}$

$\rm{We~know,}$

$\rm{Cos\: \theta=\frac{Base}{Hypotenuse}}$

$\mapsto \rm{Cos\: \theta=\frac{Base}{Hypotenuse}}$

$\mapsto \rm{Cos\: 60°=\frac{4.6}{Hypotenuse}}$

$\mapsto \rm{\frac{1}{2}=\frac{4.6}{Hypotenuse}}$

$\longmapsto \rm{Hypotenuse=9.2m}$

$\tt{Hence,~the~length~of~a~ladder~is~9.2m}$