Question

Find the value of x. Round to the nearest tenth.

Answer 1

Answer/Step-by-step explanation:

Apply trigonometric bratio formula where applicable, to find the value of x in each case. Recall the acronym, SOHCAHTOA. This will help toe ash determine which ratio formula to use depending on the information given.

4. $\theta = 33$

Opp = x

Hyp = 14

Therefore, apply SOH. Which is,

$sin(33) = \frac{x}{14}$

Multiply both sides by 14

$sin(33)*14 = x$

$7.6 = x$ (nearest tenth)

5. $\theta = 29$

Adj = x

Hyp = 14

Therefore, apply CAH. Which is,

$cos(37) = \frac{x}{14}$

Multiply both sides by 14

$cos(37)*14 = x$

$11.2 = x$ (nearest tenth)

6. $\theta = 29$

Opp = x

Adj = 5.4

Therefore, apply TOA. Which is,

$tan(29) = \frac{x}{5.4}$

Multiply both sides by 5.4

$tan(29)*5.4 = x$

$3.0 = x$ (nearest tenth)

7. $\theta = 55$

Opp = x

Adj = 33

Therefore, apply TOA. Which is,

$tan(55) = \frac{x}{33}$

Multiply both sides by 33

$tan(55)*33 = x$

$47.1 = x$ (nearest tenth)