Question

In ΔABC, ∠B = 90°, AB = 3 cm, AC = 6 cm, then θ = ______.

पर्याय

• 30°

• 45°

• 60°

• none of these

Answer 1

In ΔABC, ∠B = 90°, AB = 3 cm, AC = 6 cm, then θ = 60°.

Explanation:

To find the value of θ in the right-angled triangle ABC, the cosine trigonometric ratio can be used, which is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

`cos(theta) = "Adjacent"/"Hypotenuse" = (AB)/(AC)`

`cos(theta) = 3/6 = 1/2`

To find the angle θ, the inverse cosine function is used:

`theta = cos^(-1) (1/2)`

The value of the angle whose cosine is `1/2` is 60°.

Therefore, θ = 60°.