Question

A boy kicks a football from the top of a building of height$10m$. If the line joining the initial position of the football and the point where it hits the ground makes an angle of $45°$ with the ground, then find the distance of
point where it hits the ground from the foot of the building.

• A. $10\sqrt{2}$m
• B. $20m$
• C. $10(1+\sqrt{2})$m
• D. $10m$

Answer 1

The correct option is D

$10m$

Step 1: Given data,

Height of building= 10 m

The ball makes angle $45°$ on hiting the ground.

Step 2: Explanation

Height = 10 m.

Let the distance between the building and the point where the ball hits be ‘x’ m.

Angle made is $45°$.

So the other angle is $(180°-90°-45°)=45°$

So, it forms a right-angled-isosceles triangle and two angles are $45°$.

So base and perpendicular distances are the same.

Hence the correct option is (D) 10 m.