Test Details

Some Applications of Trigonometry

Feb 11, 3:30 PM

120 minutes

Feb 11, 5:30 PM

20.0 marks

MCQ

10 questions

Yateeshwar

I ever feel satisfied when i make u able to learn new things

Class Details

Maths and Science.

class 10

Maths and Science.

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Question Text

Question 1 :
If the ratio of height of a tower and the length of its shadow on the ground is $\sqrt{3}:1 $, then the angle of elevation of the sun is<br/>

Question 2 :
the altitude of the sun when the length of the shadow is $7\sqrt 3m$.

Question 3 :
<br>On the level ground the angle of elevation of the top of a tower is $30^{0 }$ On moving 20 metres nearer tower, the angle of elevation is found to be $60^{0}$ The height of the towerin metres is<br>

Question 4 :
 A person walking along a straight road towards a hill observes at two points distance  $\sqrt{3}$ km, the angle of elevation of the hill to be $30^{0}$ and $60^{0}$. The height of the hill is   

Question 5 :
The ladder resting against a vertical wall is inclined at an angle of ${30}^{o}$ to the ground. The foot of the ladder is $7.5m$ from the wall. Find the length of the ladder.

Question 6 :
$A$ flag staff stands upon the top of a building. $A$t a distance of 40 $m$. the angles of elevation of the tops of the flag staff and building are $60^{ }$ and $30^{0}$ then the height of the flag staff in metres is<br/>

Question 7 :
The angle of elevation of a jet plane from a point A on the ground is${ 60 }^{ 0 }$. After a flight of 15 seconds, the angle of elevation changes to${ 30 }^{ 0 }$. If the plane at a constant height of$1500\sqrt { 3 } m$, then the speed of jet plane is :

Question 8 :
The shadow of a flagstaff is three times as long as the shadow of the flagstaff when the sun rays meet the ground at$\displaystyle 60^{\circ}$ Find he angle between the sun rays and the ground at the time of longer shadow.

Question 9 :
A tree breaks due to storm and the broken part bends so that the top of the trees touches the ground making an angle ${30}^{o}$ with ground. The distance between the foot of the tree to the point where the top touches the ground is $8m$. Find the height of the tree.

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