The angle of elevation of the top of tower N | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let the height of tower $M$ be $h_M$ and the height of tower $N$ be $h_N$. Let the distance between the bases of the two towers be $d$.From the ba

Vedclass · Accepted Answer

tower $M$ is taller than tower $N$.

Vedclass · Answer

(C) Let the height of tower $M$ be $h_M$ and the height of tower $N$ be $h_N$. Let the distance between the bases of the two towers be $d$.From the base of tower $M$,the angle of elevation to the top of tower $N$ is $40^{\circ}$,so $	an(40^{\circ}) = \frac{h_N}{d}$,which implies $h_N = d \cdot 	an(40^{\circ})$.From the base of tower $N$,the angle of elevation to the top of tower $M$ is $55^{\circ}$,so $	an(55^{\circ}) = \frac{h_M}{d}$,which implies $h_M = d \cdot 	an(55^{\circ})$.Since $55^{\circ} > 40^{\circ}$,we know that $	an(55^{\circ}) > 	an(40^{\circ})$.Therefore,$h_M > h_N$,which means tower $M$ is taller than tower $N$.

The angle of elevation of the top of tower $N$ from the base of tower $M$ is $40^{\circ}$. The angle of elevation of the top of tower $M$ from the base of tower $N$ is $55^{\circ}$. Then,.......

Similar Questions

In $\Delta ABC$,$m \angle B = 90^{\circ}$. If $m \angle C = \theta$,then $\tan \theta = \dots$

$A$ ladder leans against a wall. It makes an angle of $45^{\circ}$ with the ground and reaches a height of $10 \, m$ on the wall. Find the length of the ladder and the distance between the lower end of the ladder and the base of the wall.

The angle of elevation of the top of the tower from a point $x \, m$ away from the tower is $30^{\circ}$. Then the height of the tower is $\ldots \ldots \ldots \, m$.

Watching from the top of a $30 \ m$ high tower,the angle of depression of a stone on the ground is found to be $45^{\circ}$. Then the distance of the stone from the base of the tower is $\ldots \ldots \ldots \ m$.

In $\Delta ABC$,$m\angle B = 90^\circ$,$m\angle C = 30^\circ$ and $AC = 30 \text{ cm}$,then $AB = \ldots \text{ cm}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module