$Δ A B C$ is right angled at $C$ as shown in the above figure. If the length of side $A C$ is $10$ and the measure of $∠ B A C$ is $22^{o}$ , find the length of side $B C$ .

3.7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4.0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

5.8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6.8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9.3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $4.0$
As per given picture,
$tan 22^{0} = \frac{B C}{A C}$
$\Rightarrow B C = A C \times tan 22$
$\Rightarrow B C \leq 10 \times 0.4142 = 4.142 \geq 4$

Suggest Corrections

Similar questions

In $△$ ABC, right angled at B, BC = 5cm, $∠ B A C$ = $30^{\circ}$ , find the length of the sides AB and AC.

Q. ABC is a right angled triangle.
If

α = 30^{\circ}

and AC = 10 cm then find the length of side BC in cm.

$△$ ABC is drawn with the length of side BC being 9.6 cm. If $∠$ B is 25 $^{\circ}$ and $∠$ C is 110 $^{\circ}$ , then the measure of $∠$ A and the length of side AC respectively are

Q. In the adjoining figure,

Δ A B C

is right angled at

B

. Its legs are

8 c m

and

6 c m

. Find the length of perpendicular

B N

on the side

A C

Q. In

Δ A B C

, right-angled at B. AB = 5 cm and

∠ A C B = 30^{\circ} .

Determine the lengths of the sides BC and AC.

Join BYJU'S Learning Program

ΔABC is right angled at C as shown in the above figure. If the length of side AC is 10 and the measure of ∠BAC is 22o, find the length of side BC.

The correct option is B 4.0As per given picture,tan220=BCAC⇒BC=AC×tan22⇒BC≤10×0.4142=4.142≥4

$Δ A B C$ is right angled at $C$ as shown in the above figure. If the length of side $A C$ is $10$ and the measure of $∠ B A C$ is $22^{o}$ , find the length of side $B C$ .

The correct option is B $4.0$
As per given picture,
$tan 22^{0} = \frac{B C}{A C}$
$\Rightarrow B C = A C \times tan 22$
$\Rightarrow B C \leq 10 \times 0.4142 = 4.142 \geq 4$