Answer:
[tex]\boxed {\boxed {\sf 58 \textdegree}}[/tex]
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.
[tex]tan(\theta)= \frac{opposite}{adjacent}[/tex]
[tex]tan(\theta)=\frac{16}{10}[/tex]
To find an angle measure, the inverse tangent must be used.
[tex]\theta= tan^{-1} (\frac{16}{10})[/tex]
Type the right side into a calculator.
[tex]\theta=57.99461679[/tex]
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.
[tex]\theta \approx 58[/tex]
The angle is about 58 degrees.
