Question

16

Answer 1

Answer:

58°

Step-by-step explanation:

We will use the tangent function since we know the opposite and adjacent sides.

Tangent = opposite/adjacent

Tan(e) = 16/10

Tan(e) = 1.6

Use the inverse tangent function to find the angle.

Arctan (1.6) = 57.9946168

Rounding this we get: 58°

Answer 2

Answer:

$\boxed {\boxed {\sf 58 \textdegree}}$

Step-by-step explanation:

The three trigonometric ratios (Soh- Cah- Toa) are:

• sin(θ) = opposite/hypotenuse
• cos(θ)= adjacent/hypotenuse
• tan(θ)=opposite/adjacent

We want to find the indicated angle. We have the opposite side (16) and the adjacent (10). Therefore, we must use tangent.

$tan(\theta)= \frac{opposite}{adjacent}$

$tan(\theta)=\frac{16}{10}$

To find an angle measure, the inverse tangent must be used.

$\theta= tan^{-1} (\frac{16}{10})$

Type the right side into a calculator.

$\theta=57.99461679$

If this is rounded to the nearest whole number, the 9 in the tenth place tells us to round the 7 up to a 8.

$\theta \approx 58$

The angle is about 58 degrees.