Question

in a right triangle ABC , right angled at C, if angle B=60 degree and AB=15 cm . find the remining angles and sides

Answer 1

Step-by-step explanation:

measure of one more side is required to find the remaining side

Answer 2

Answer:

According to the question,

Angle B = 60 degrees and Angle C = 90 degrees

We know that, according to the angle sum property of triangles:

→ ∠A + ∠B + ∠C = 180°

→ ∠A + 60° + 90° = 180°

→ ∠A + 150° = 180°

→ ∠A = 180° - 150°

→ ∠A = 30°

Now According to Trigonometry,

→ Sin B = Opposite / Hypotenuse

→ Sin 60° = AC / AB

→ √3 / 2 = AC / 15

→ AC = 15√3 / 2  = 7.5 √3 cm

Similarly,

→ Cos B = Adjacent / Hypotenuse

→ Cos 60° = BC / AB

→ 1 / 2 = BC / AB

→ 1 / 2 = BC / 15

→ BC = 15 / 2 = 7.5 cm