Question

Find the measurement of angle A and round to the nearest tenth

Answer 1

B. 17.1°

Explanation:

Given that triangle ABC has a right angle at C, BC = 4 units and AC = 13 units.

We can use the Pythagorean theorem to find the length of AB, which is the hypotenuse of the right triangle:

AB² = AC² + BC²

AB² = 13² + 4²

AB² = 169 + 16

AB² = 185

AB = sqrt(185)

Now, to find angle A, we can use the sine function:

sin(A) = opposite/hypotenuse

sin(A) = BC/AB

sin(A) = 4/sqrt(185)

A = sin⁻¹(4/sqrt(185))

Using a calculator, we can find that:

A ≈ 17.10 degrees

Answer 2

B. 17.1°

Explanation:

Given that triangle ABC has a right angle at C, BC = 4 units and AC = 13 units.

We can use the Pythagorean theorem to find the length of AB, which is the hypotenuse of the right triangle:

AB² = AC² + BC²

AB² = 13² + 4²

AB² = 169 + 16

AB² = 185

AB = sqrt(185)

Now, to find angle A, we can use the sine function:

sin(A) = opposite/hypotenuse

sin(A) = BC/AB

sin(A) = 4/sqrt(185)

A = sin⁻¹(4/sqrt(185))

Using a calculator, we can find that:

A ≈ 17.10 degrees