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3 questions · timed · auto-graded

Question 12 Marks
Find $AD$
Answer
In $\triangle ABC ,$
$\angle A C D=\angle A B C+\angle B A C$
$\text { and } \angle A B C=\angle B A C(\because A C=B C)$
$\therefore \angle A B C=\angle B A C=\frac{48^{\circ}}{2}=24^{\circ}$
Now ,
$\frac{A D}{A B}=\sin 24^{\circ}$
$A D=30 \times 0.4067=12.20 m $
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Question 22 Marks
Find $AD$
Answer
In$\triangle AEB,$
$\frac{A E}{B E}=\tan 32^{\circ}$
$\Rightarrow A E=20 \times 0.6249=12.50 m$
$\therefore A D=A E+E D=12.50+5=17.50 m $
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Question 32 Marks
The height of a tree is $\sqrt3$ times the length of its shadow. Find the angle of elevation of the sun.
Answer

Let the length of the shadow of the tree be $x m.$
$\therefore$ Height of the tree $=\sqrt{3} \times m$
if $\varnothing$ is the angle of elevation of the sun, then
$\tan \varnothing=\frac{\sqrt{3} \times}{\times}=\sqrt{3}=\tan 60^{\circ}$
$\therefore \varnothing=60^{\circ}$
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[2 Mark Question Answer] - Mathematics STD 10 Questions - Vidyadip