Find the value of $x$ in the given figure.

20

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30

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40

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60

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Solution

The correct option is C $40$
Consider the given figure as $△ A B C$ , $∠ B = 90^{\circ}$ , $∠ A = 45^{\circ}$
$tan A = \frac{P}{B} = \frac{B C}{A B}$
$tan 45 = \frac{x}{40}$
$1 = \frac{x}{40}$
$x = 40$

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Similar questions

In the given figure, $∠ A = 60^{\circ}$ and $∠ A B C = 80^{\circ}$ , then $∠ D P C$ and $∠ B Q C$ are respectively ___.

28.5

x

y

Class-interval	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	Total
Frequency	$5$	$x$	$20$	$15$	$y$	$5$	$60$

:

X	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
F	$20$	$10$	$10$	$10$	$40$	$30$

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y

C.I.	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	Total
f	$5$	$x$	$20$	$14$	$y$	$8$	$68$

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