Question

Can anyone solve this question ​

Answer 1

Answer:

20√3,40

Step-by-step explanation:

In triangle ABC,

tan A = BC/ AB

tan 30°= 20/AB

1/√3 = 20/AB

AB=20√3

cosA= AB/AC

cos30° = 20√3/ AC

√3/2 = 20√3/AC

AC=40

PLS MARK IT BRAINLIEST

Answer 2

Answer:-

Given:

∠A = 30°

BC = 20 cm.

We know that,

sin ∅ = Opposite side/Hypotenuse

From the above figure ,

let ,

AB is the adjacent side to ∠A

BC be the opposite side and

AC be the hypotenuse.

Hence,

sin 30° = AC / BC

We know that,

sin 30° = 1/2

Hence,

→ 1/2 = 20/ AC

On cross multiplication we get,

→ AC = 2*20

→ AC = 40 cm

Using Pythagoras Theorem,

i.e.,

(Hypotenuse)² = (Opposite side)² + (Adjacent side)²

→ (AC)² = (BC)² + (AB)²

→ (40)² = (20)² + (AB)²

→ 1600 = 400 + (AB)²

→ 1600 - 400 = (AB)²

→ 1200 = (AB)²

→ AB = √1200

→ AB = √( 3 * 400)

→ AB = √3 * √400

→ AB = 20√3 cm

Hence, the length of AB is 20√3 cm and that of AC is 40 cm (Option A).