Question

a man of height 1.8m is standing under a semi circular arc . If he is 0.9m awayfrom one end of the arc and its head touches the arc. what is the diameter of the arc?

Answer 1

Hey bro,
plz open attachment


Hope you like it,

Answer 2

Given:

Man is 1.8 m tall.

He is 0.9 m away from the end of the arc.

His head touches the arc.

To Find:

The diameter of the arc

Solution:

* Refer to the attached drawing for a visual representation of the drawing.

* Note the right angle triangle formed

Find the radius:

1.8² + ( r - 0.9)² = r²

3.24 + r² - 1.8r + 0.81 = r²

4.05 - 1.8r = 0

1.8r = 4.05

r = 2.25 m

Find the diameter:

Diameter = 2 x radius

Diameter = 2 x 2.25

Diameter = 4.5 m

Answer: The diameter is 4.5 m