Question

if the angle of elevation of a laddee leaning against the house be 58 degree and foot of the kadder is 9.6m from the house find the length of the ladder​

Answer 1

Question :-

if the angle of elevation of a ladder leaning against the house be 58 degree and foot of the kadder is 9.6m from the house. find the length of the ladder..?

Answer:-

→ Length of ladder = 18.11 ( something)

Step - by - step explanation:-

In the given figure,

AC is ladder and BC is wall of house,

Given that,

Angle of elevation = 58°

Length of base (BC) = 9.6 m

Solution :-

According to the condition,

$\angle \: B \: = 90 \degree$

_________________________________________

We know that,

$\: \implies \: \cos( \theta) = \frac{base}{hypotnous} \\ \\ here \: \\ \star \: \: \theta \: = 58 \degree \\ \\ \implies \: \cos(58 \degree) = \frac{9.6}{AC} \\ \\ \implies \: AC\: = \frac{9.6}{ \cos(58 \degree) } \\ \\ \because \: \cos(58 \degree) = 0.53 \: (approx) \\ \\ \implies \: AC \: = \frac{9.6}{0.53} \\ \\ \implies \: \boxed{AC \: = 18.11 \: metre \: (approx)}$

________________________________________

AC is the length of ladder .

Therefore,

Length of ladder is 18.11 (something).