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3 years ago

Find the length of side BC.

Mathematics

1 answer:

BARSIC [14]3 years ago

6 0

Answer:

length of side BC = 11.9cm

The complete question found on brainly (ID: 14303570 ) is stated below:

Find the length of side BC.

Give your answer to 1 decimal place.

∠A = 58°

AC = 14cm

Find attached the diagram of the triangle.

Step-by-step explanation:

From the diagram

∠A = 58°

∠B = 90°

AC = 14cm

The triangle is a right angled triangle

To get the length side of BC, we would

apply trigonometry SOHCAHTOA.

In this question the sine ratio would be appropriate since we know the hypotenuse but we are looking for the opposite side (BC).

Sine ratio: Sin58° = opposite/hypotenuse

Sin58° = BC/AC

Sin58° = BC/14

BC = 14sin58°

BC = 14 × 0.8480

BC = 11.9cm

length of side BC = 11.9cm (1 decimal place)

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