Watching from the top of a tower,the angles o | vedclass

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

Question

(B) Let the height of the tower be $h$. Let $d_A$ and $d_B$ be the distances of houses $A$ and $B$ from the base of the tower,respectively.From the ge

Vedclass · Accepted Answer

house $B$ is closer to the tower than house $A$.

Vedclass · Answer

(B) Let the height of the tower be $h$. Let $d_A$ and $d_B$ be the distances of houses $A$ and $B$ from the base of the tower,respectively.From the geometry of the situation,the angle of depression is equal to the angle of elevation from the house to the top of the tower.Thus,$	an(25^{\circ}) = \frac{h}{d_A}$ and $	an(40^{\circ}) = \frac{h}{d_B}$.This implies $d_A = \frac{h}{	an(25^{\circ})}$ and $d_B = \frac{h}{	an(40^{\circ})}$.Since $40^{\circ} > 25^{\circ}$,we know that $	an(40^{\circ}) > 	an(25^{\circ})$.Therefore,$\frac{h}{	an(40^{\circ})} Hence,house $B$ is closer to the tower than house $A$.

Watching from the top of a tower,the angles of depression of two houses $A$ and $B$ are found to be $25^{\circ}$ and $40^{\circ}$ respectively. Then,.......

Similar Questions

From a point on the ground,the angle of elevation of the top of a tower is found to be $30^{\circ}$. Walking $30\, m$ towards the tower from that point,the angle of elevation of the top of the tower is found to be $60^{\circ}$. Find the height of the tower (in $m$).

The angles of depression of two boats $A$ and $B$ from the top of a lighthouse are $25^{\circ}$ and $40^{\circ}$ respectively. Then $\ldots \ldots \ldots \ldots$ from the lighthouse.

$A$ $10\,m$ long ladder is placed in such a manner that its lower end remains $5\,m$ away from the base of a wall. Find the angles made by the ladder with the wall and with the floor.

Observing from the top of a tower,the angles of depression of the top and the bottom of a $100 \, m$ high building are found to be $30^{\circ}$ and $60^{\circ}$ respectively. Find the height of the tower in $m$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module