Question

A toy drone vertically 24m above in a football ground, receives the
footage signals of the goalposts on either sides at 30° and 45°
respectively. Find the length of the football ground?​

Answer 1

Given :- A toy drone vertically 24m above in a football ground, receives the footage signals of the goalposts on either sides at 30° and 45° respectively.

To Find :- Find the length of the football ground ?

Answer :-

Let length of football ground is (x + y) m .

we know that,

• tan θ = P / B .

so, one side of drone,

→ tan 30° = 24/x

→ (1/√3) = 24/x

→ B = 24√3 m .

similarly,

→ tan 45° = 24/y

→ 1 = 24/x

→ x = 24 m .

therefore,

→ Length of football ground = x + y = 24 + 24√3 = 24(1 + √3) m (Ans.)

Learn more :-

The diagram shows two planks are slanted on a vertical wall.

Express cot x in terms of p.

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