In a triangle ABC right angled at B, AB = 5 cm and AC = 10 cm. Determine ∠ BCA.

Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

In a triangle ABC right angled at B, AB = 5 cm and AC = 10 cm. Determine ∠ BCA.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

45°

90°

30°

75°

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given, ΔABC is right angled at B
Where, AB = 5 cm and AC = 10 cm

AB is the opposite side and AC is the hypotenuse to the given triangle.
∴ Let's use sin ∠BCA = $\frac{AB}{AC}$ = $\frac{5}{10}$ = $\frac{1}{2}$

As we know sin 30° = $\frac{1}{2}$

So, sin ∠BCA = sin 30° or ∠ BCA = 30°
∴ ∠BCA = 30° is our answer.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE