Question

Just the answer please.
1: http://imgur.com/b7RH3jQ
2: http://imgur.com/6I9YSJP

Answer 1

Answer on Question #58894 – Math – Trigonometry

Question

Just the answer please.

Fill in the blank. In the triangle below, $z^* =$

Solution

$$\frac{x}{35} = \tan 52{}^\circ \rightarrow x = 35 \tan 52{}^\circ \approx 44.80;$$ $$\frac{35}{y} = \cos 52{}^\circ \rightarrow y = \frac{35}{\cos 52{}^\circ} \approx 56.85;$$ $$z^* = 90{}^\circ - 52{}^\circ = 38{}^\circ.$$

Answer: $z^* = 38{}^\circ$.

Question

Just the answer please.

Fill in the blank. In the triangle below, $x =$ ______. Round your answer to two decimal places.

Solution

$$\frac{x}{35} = \tan 42{}^\circ \rightarrow x = 35 \tan 42{}^\circ \approx 31.51;$$ $$\frac{35}{y} = \cos 42{}^\circ \rightarrow y = \frac{35}{\cos 42{}^\circ} \approx 47.10;$$ $$z{}^\circ = 90{}^\circ - 42{}^\circ = 48{}^\circ.$$

Answer: $x = 31.51$.

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