Question

PLEASE HELP!!
Solve for the missing variables. Leave the answer in simplified radical form, unless you use Trig, then round to the nearest hundredth.

Answer 1

Answer and Step-by-step explanation:

Use Pythagorean  Theorem for 6 and 9.

6.

$8^{2} + w^{2} = 14^{2} \\\\\\w^{2} = 132\\\\\\2\sqrt{33} = w = 11.49$

7. Use Cosine, and then Tangent.

$cos(30) = \frac{15}{y} \\\\y = \frac{15}{cos(30)\\\\}\\\\y = 10\sqrt{3}, or 17.32$

$tan(30) = \frac{x}{15} \\\\15tan(30) = x\\\\5\sqrt{3} = x = 8.66$

8. Use Sine.

$sin(theta) = \frac{23}{42} \\\\theta = sin^{-1} (\frac{23}{42} )\\\\theta = 33.2$

9.

y = 7

$7^{2} +7^{2} = x^{2} \\\\98 = x^{2} \\\\7\sqrt{2} = x = 9.9$

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