Question

in the figure find the length of AP ​

Answer 1

Step-by-step explanation:

ans 10 please tell you this is right answer

Answer 2

Given:

BC=40cm

To find:

The length of AP

Solution:

The length of AP is 80/$\sqrt{3}$.

We can find the length by following the process given below-

We know that the given figure is a rectangle and so its opposite sides are equal in length.

So, AD=BC=40cm

Since ABCD is a rectangle, angle BAD=90° and angle BAD=angle BAP+angle PAD

It is given that angle BAP=60°

Putting the values, we get

90°=60°+angle PAD

Angle PAD=90°-60°=30°

In ΔPAD, AD=40 cm and angle PAD=30°.

Using trigonometry, we can obtain the length of AP.

We know that Cos theta=Base/ Hypotenuse.

Here, theta is equal to the angle PAD.

So, Cos 30°=AD/AP

Cos 30°=$\sqrt{3}$/2

$\sqrt{3}$/2=40/AP

AP×$\sqrt{3}$=2×40

AP=80/$\sqrt{3}$

Therefore, the length of AP is 80/$\sqrt{3}$.