Question

the angle of elevation of ladder leading against a wall is 60 degree and the foot of the ladder is 7.5 metres away from the wall find the length of the ladder​

Answer 1

Answer:

Length of the ladder= 15 meters

Step-by-step explanation:

Let length of ladder be 'x'

According to trigonometric tables, cos 60=1/2

And cos theta = adjacent/hypotenuse

Thus cos 60=7.5/x

Thus 1/2=7.5/x

Thus x=7.5*2

Thus x= 15 m

Answer 2

Correct Question:

The angle of elevation of ladder leaning against a wall is 60 degree and the foot of the ladder is 7.5 metres away from the wall find the length of the ladder​.

Your Answer:

Given:-

• Distance of ladder from wall=7.5m
• Angle of Elevation of ladder against wall=60°

To find:-

• Length of ladder or AB

Let us Assume:-

• Let AC be the length of wall and BC be the distance from the ladder to the wall. As taken in the figure.

• Angle ABC be the angle of elevation.
• AB be the length of Ladder

Solution:-

In triangle ABC

$\tt \cos60=\frac{base}{hypotenuse}$

$\tt \Rightarrow \frac{1}{2}=\frac{BC}{AB}$

$\tt \Rightarrow \frac{1}{2}=\frac{7.5m}{AB}$

$\large \bf \tt \Rightarrow AB = 15m$

So, the length of ladder is 15m