When the angle of elevation of the sun is 30^ | vedclass

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

Question

(D) Let the height of the tower be $h$ and the length of the shadow be $s = 90\, m$.The angle of elevation $	heta = 30^{\circ}$.In the right-angled t

Vedclass · Accepted Answer

$51.9$

Vedclass · Answer

(D) Let the height of the tower be $h$ and the length of the shadow be $s = 90\, m$.The angle of elevation $	heta = 30^{\circ}$.In the right-angled triangle formed by the tower and its shadow,we have $	an(	heta) = \frac{	ext{height}}{	ext{shadow length}}$.$	an(30^{\circ}) = \frac{h}{90}$.Since $	an(30^{\circ}) = \frac{1}{\sqrt{3}}$,we have $\frac{1}{\sqrt{3}} = \frac{h}{90}$.$h = \frac{90}{\sqrt{3}} = \frac{90 	imes \sqrt{3}}{3} = 30\sqrt{3}$.Using $\sqrt{3} \approx 1.732$,we get $h = 30 	imes 1.732 = 51.96\, m$.Rounding to one decimal place,the height is $51.9\, m$.

When the angle of elevation of the sun is $30^{\circ}$,the length of the shadow of a tower is $90\, m$. Find the height of the tower. (in $m$)

Similar Questions

The angle of depression of the base of a tower from the top of a cliff is $60^{\circ}$ and the angle of elevation of the top of the tower from the base of the cliff is $30^{\circ}$. If the height of the tower is $50 \, m$,find the height of the cliff in meters.

On walking for search of a ball $x$ metres on a hill making an angle of $30^{\circ}$ with the ground,one can reach a height of $y$ metres from the ground. Then $\ldots \ldots \ldots . . .$

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 $\ldots \ldots \ldots \, m$.

$A$ pole $6\, m$ high casts a shadow $2 \sqrt{3}\, m$ long on the ground. Then,the Sun's elevation is: (in $^{\circ}$)

Write 'True' or 'False' and justify your answer.
The angle of elevation of the top of a tower is $30^{\circ}$. If the height of the tower is doubled,then the angle of elevation of its top will also be doubled.

Vedclass Test Series

Exam Paper Generator

Online Exam Module