Question

given \\(\beta = 8^{\circ}\\) and \\(a = 6\\), determine the following.

a) what is \\(\theta\\)? round to two decimal places, if necessary. enter the degree symbol by using the toolbar or typing \deg\.

b) what is \\(b\\)? round to two decimal places, if necessary.

c) what is \\(c\\)? round to two decimal places, if necessary.

Explanation:

Find the angle \(\theta\)

Using the Right Triangle Trigonometry knowledge point

$$ \theta = 90^\circ - \beta = 90^\circ - 8^\circ = 82^\circ $$

Calculate the side length \(b\)

Using the Trigonometric Ratios knowledge point

$$
LATEXBLOCK0
$$

Calculate the hypotenuse \(c\)

Using the Trigonometric Ratios knowledge point

$$
LATEXBLOCK1
$$

Answer:

Question a

What is \(\theta\)? Round to two decimal places, if necessary. Enter the degree symbol by using the toolbar or typing "deg".
\(\theta =\) <blank>\(82^\circ\)</blank>

Question b

What is \(b\)? Round to two decimal places, if necessary.
\(b =\) <blank>\(0.84\)</blank>

Question c

What is \(c\)? Round to two decimal places, if necessary.
\(c =\) <blank>\(6.06\)</blank>