Find sin A for the triangle below. Give the exact value as an expression and an approximation to the nearest ten-thousandth. Not

Question

2 years ago

12

e: The triangle is not drawn to scale.

1 answer:

Feliz [49] · Answer 1 · 2023-07-14T09:07:02+03:00

the exact value of sin A to the nearest ten- thousandth is 0. 6625

<h3>Using the pythagorean theorem</h3>

a² + b² = c²

The opposite side is unknown, so use the pythagorean theorem to find it

c = hypotenuse = 4

a= opposite site = ?

b= adjacent side = 3

Substitute into the formula

4² = a² + 3²

16 = a² + 9

a² = 16 -9 = 7

Find the square root

a =√7 = 2. 65

To find Sin A, use

Sin A = opposite side ÷ hypotenuse

Sin A = 2. 65 ÷ 4 = 0. 6625

Thus, the value of sin A is 0. 6625

Learn more about pythagorean theorem here:

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