Question

a rope of length 20m tied from the top of a vertical pole to the ground has made an angle 45* with the ground . Find the height of the pole​

Answer 1

Step-by-step explanation:

Here is your answer and it is the question of application of trigonometry and can be done by a simple method

Answer 2

The height of the pole​ is about 14.14 m.

Explanation:

As per the given description a picture is drawn ( in attachment).

Pole is making a right triangle as it is standing vertical making 90° with ground and rope is the hypotenuse.

The pole is the opposite to angle 45°.

Let h be the height of the pole.

According to the trigonometry , in right triangle

$\sin x =\dfrac{\text{side opposite to x}}{\text{Hypotenuse}}$

For the triangle below ,

$\sin 45^{\circ} =\dfrac{h}{20}$

$\dfrac{1}{\sqrt{2}}=\dfrac{h}{20}$

$h=\dfrac{20}{\sqrt{2}}=\dfrac{20\sqrt{2}}{2}\\\\=10\sqrt{2}=10(1.414)=14.14\ m$

Hence, the height of the pole​ is about 14.14 m.

# Learn more :

A rope is tied at the top of the pole of height 60m and the other end of the rope is tied at a point on the ground such that the angle of inclination at the rope is 60°find the length of the rope assuming there is no stick in the rope

https://brainly.in/question/7554018