A person is watching from a point A on the gr | vedclass

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

Question

(B) In the right-angled triangle formed,the height of the building is $y$ (opposite side) and the distance from the base is $x$ (adjacent side).Using

Vedclass · Accepted Answer

$x < y$

Vedclass · Answer

(B) In the right-angled triangle formed,the height of the building is $y$ (opposite side) and the distance from the base is $x$ (adjacent side).Using the trigonometric ratio,$	an(70^\circ) = \frac{	ext{opposite}}{	ext{adjacent}} = \frac{y}{x}$.We know that $	an(45^\circ) = 1$.Since the tangent function is increasing in the interval $(0^\circ, 90^\circ)$,and $70^\circ > 45^\circ$,it follows that $	an(70^\circ) > 	an(45^\circ)$.Therefore,$	an(70^\circ) > 1$.Substituting the ratio,$\frac{y}{x} > 1$.Since $x$ and $y$ are lengths (positive values),we can multiply both sides by $x$ to get $y > x$,which is equivalent to $x < y$.

$A$ person is watching from a point $A$ on the ground,which is $x \ m$ away from the base of a building. The height of the building is $y \ m$ and the angle of elevation of the top of the building is found to be $70^\circ$. Then:

Similar Questions

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,.......

There is a flag-post on the top of a $10 \, m$ high tower. From a point on the ground,the angle of elevation of the top of the tower is $45^{\circ}$ and that of the top of the flag-post is $60^{\circ}$. Find the height of the flag-post. (in $, m$)

The distance between two poles of equal height is $200 \, m$. From a point situated on the line segment joining their bases,the angles of elevation of their tops are found to be $60^{\circ}$ and $30^{\circ}$. Find the height of the pole in $m$.

Two trucks are parked in the same direction of a $300 \,m$ high tower. The angles of depression of these trucks from the top of the tower are found to be $45^{\circ}$ and $60^{\circ}$. Find the distance between these two trucks. (in $,m$)

$A$ cable tied to the top of an electric pole is fixed at a point on the ground. The length of the cable is $22\, m$ and it makes an angle of measure $30^{\circ}$ with the ground. Find the height of the electric pole (in $m$).

Vedclass Test Series

Exam Paper Generator

Online Exam Module