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16
10
Use soh-cah-toa to determine the measure of the
indicated angle:
е
B.
.028°
58
39°
51°

16 10 Use Sohcahtoa To Determine The Measure Of The Indicated Angle Е B 028 58 39 51 class=

Sagot :

Evanc7515idn

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°

Sarah06109idn

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.

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