edited by
1,619 views
0 votes
0 votes

The angle of elevation of the sun, when the length of the shadow of a tree is $3$ times the height of the tree, is

  1. $30^\circ{}$
  2. $45^\circ{}$
  3. $60^\circ{}$
  4. $90^\circ{}$
edited by

1 Answer

0 votes
0 votes

Let $AB$ be the tree and $AC$ be its shadow.

Let $\angle ACB = \theta$

Then, $\dfrac{AC}{AB} = 3$

$\implies \cot\theta = 3$

Answer:

Related questions

1 votes
1 votes
2 answers
1
Lakshman Bhaiya asked Mar 30, 2020
962 views
A flagstaff $17.5$ m high casts a shadow of length $40.25$ m. The height of the building, which casts a shadow of length $28.75$ m under similar condition will be?$10$ m$...
0 votes
0 votes
1 answer
2
Lakshman Bhaiya asked Mar 30, 2020
1,650 views
What is the maximum number of the handshakes that can happen in the room with $5$ people in it?$15$$10$$6$$5$
1 votes
1 votes
2 answers
3
Lakshman Bhaiya asked Mar 30, 2020
1,149 views
A train running at the speed of $60$ km/hr crosses a pole in $9$ seconds. What is the length of the train?$120$ meters$180$ meters$324$ meters$150$ meters
1 votes
1 votes
2 answers
4
0 votes
0 votes
1 answer
5
Lakshman Bhaiya asked Mar 30, 2020
884 views
A boatman goes $2$ km against the current of the stream in $1$ hour and goes $1$ km along the current in $10$ minutes. How long will it take to go $5$ km in stationary wa...