Question

If two towers of height $${h_1}$$ and $${h_2}$$ substends angles of $${60^ \circ }$$ and $${30^ \circ }$$ mid point of the line joining their feet. Then what is $${h_1}:{h_2}$$

Solution

REF.Image$$tan 30^{\circ}=\frac{h_{2}}{x}$$   $$tan 60^{\circ}=\frac{h_{1}}{x}$$$$\frac{tan 60^{\circ}}{tan 30^{\circ}}=\frac{h_{1}/x}{h_{2}/x}=\frac{h_{1}}{h_{2}}$$$$\frac{h_{1}}{h_{2}}=\frac{\sqrt{3}}{\frac{1}{\sqrt{3}}}=\frac{3}{1}$$Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More