Question

A ladder leans against the vertical wall with its 4 to 1.5 m away from the wall if it makes an angle of 65°With the ground how far from the ground is that of of the ladder what is the length of the ladder

Answer 1

Question:

A ladder leans against the vertical wall with its 4 to 1.5 m away from the wall if it makes an angle of 65°With the ground how far from the ground is that of of the ladder what is the length of the ladder

Solution:

Pls refer the attachment first for better understanding .

Let ,

QR be the length of the wall

PR be the distance of the foot of the ladder from the wall

PQ be the length of the ladder

the angle made by the ladder with the ground

= 65 °

In right angled triangle ∆ PQR,

$\implies \mathtt{ \cos(65) = \dfrac{PR}{PQ} }$

$\implies \mathtt{ PQ = \dfrac{PR}{\cos(65)} }$

$\implies \mathtt{ PQ = \dfrac{1.5}{0.422} }$

$\implies \mathtt{ \red{ PQ = 3.6m}}$

The length of the ladder is 3.6 m

Answer 2

Question:

A ladder leans against the vertical wall with its 4 to 1.5 m away from the wall if it makes an angle of 65°With the ground how far from the ground is that of of the ladder what is the length of the ladder

Solution:

Pls refer the attachment first for better understanding .

Let ,

QR be the length of the wall

PR be the distance of the foot of the ladder from the wall

PQ be the length of the ladder

the angle made by the ladder with the ground

= 65 °

In right angled triangle ∆ PQR,

$\implies \mathtt{ \cos(65) = \dfrac{PR}{PQ} }$

$\implies \mathtt{ PQ = \dfrac{PR}{\cos(65)} }$

$\implies \mathtt{ PQ = \dfrac{1.5}{0.422} }$

$\implies \mathtt{ \red{ PQ = 3.6m}}$

The length of the ladder is 3.6 m