A person of height 6 ft. wants to pluck a fruit which is on a 26/3 ft. high tree. lf the person is standing 8/ 3 ft. away from the base of the tree, then at what angle should he throw a stone so that, it hits the fruit?

A) \( 60 ^{\circ} \)
B) \( 75 ^{\circ} \)

C) \( 30 ^{\circ} \)
D) \( 45 ^{\circ} \)

Correct answer:
C) \( 30 ^{\circ} \)

Description for Correct answer:





\( \Large tan \theta = \frac{AB}{EB} = \frac{ \left(AC-BC\right) }{DC} \)

= \( \Large \frac{ \left(\frac{26}{3}-6\right) }{\frac{8}{\sqrt{3}}} \)

= \( \Large \frac{\frac{ \left(26-18\right) }{3}}{\frac{8}{\sqrt{3}}} = \frac{1}{\sqrt{3}} \)

= \( \Large \theta = tan^{-1} \left(\frac{1}{\sqrt{3}}\right) = 30 ^{\circ} \)


Please provide the error details in above question

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