Solve the right triangle. Plz go into explanation.

Question

anonymous · Answer

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anonymous · Answer

Use your trig functions to solve the triangle, sintheta,costheta, tantheta.

anonymous · Answer

SOH CAH TOA :)

hero · Answer

@gotstylzz, do you know how to convert minutes to decimal?

hero · Answer

$$36^{\circ}20{'} = (36 + \frac{20}{60})^{\circ} = (36 + \frac{1}{3})^{\circ} = (36 \frac{1}{3})^{\circ}$$

$$\sin \theta = \frac{\text{opp}}{\text{hyp}}$$

$$\theta = (36 \frac{1}{3})^{\circ}$$

$$\sin (36 \frac{1}{3}) = \frac{\text{a}}{\text{964}}$$
$$a = 964\sin (36 \frac{1}{3})$$

Solve for b using pythagorean theorem

anonymous · Answer

oh i solved it already i got a = 570 (570 being the most significant digits)

hero · Answer

a is closer to 571 than 570

anonymous · Answer

b/c of the decimals right?

hero · Answer

Not just because of decimals. 

$$a \approx 571.153$$

hero · Answer

Even if you removed the decimals:

$$a \approx 571$$