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A helicopter is flying at a height of 575 m. A person on the ground sees it at an angle of elevation of 30°. What is the horizontal distance from the
Question

A helicopter is flying at a height of 575 m. A person on the ground sees it at an angle of elevation of 30°. What is the horizontal distance from the person to the point on the ground exactly below the helicopter?
(Take √3=1.73)

A.

990.75 m

B.

896.75 m

C.

994.75 m

D.

895.75 m

Correct option is C

Given
Height of the helicopter (Perpendicular) = 575 m
Angle of elevation (θ)=30 (\theta) = 30​°
3=1.73\sqrt{3} = 1.73​​
Formula Used
tan(θ)\tan(\theta)​ = Perpendicular / Base
Solution
tan(30°)=575Base 13=575Base Base=575×3 Base=575×1.73 \tan(30°) = \frac{575}{Base} \\\ \\\frac{1}{\sqrt{3}} = \frac{575}{Base} \\\ \\Base = 575 \times \sqrt{3} \\\ \\Base = 575 \times 1.73 \\\ \\​​
Base = 994.75 m
Final Answer
So the correct answer is (c)

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