Question

Choose the correct answer from the alternatives given.
A person of height 6 ft. wants to pluck a fruit which is on $\frac{26}{3}$ ft. high tree. If the person is standing $\frac{8}{\sqrt{3}}$ ft. away from the base of the tree, then at what angle should he throw a stone so that, it hits the fruit.

• A. ${450}^{\circ }$
• B. ${60}^{\circ }$
• C. ${30}^{\circ }$
• D. ${75}^{\circ }$

Answer 1

Answer: (C)

${30}^{\circ }$

Given that.
$AB=6ft,BC=$ $\frac{8}{\sqrt{3}}$$ft,CD=$ $\frac{26}{3}$ ft
and $DE=DC-CE=$

$(\frac{26}{3}-6)=\frac{8}{3}ft$
We have to calculate the value of $\theta$
$\tan \theta =\frac{DE}{AE}=\frac{\frac{8}{3}}{\frac{8}{\sqrt{3}}}=\frac{1}{\sqrt{3}}=\tan {30}^{\circ }$
$\Rightarrow \theta ={30}^{\circ }$