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Please help me on this

Please help me on this-example-1

2 Answers

4 votes

download the app Aleks & you’ll get your answer

User Simon Kraus
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1 vote

For this case, we have that by definition, the HF segment is given by:


Sin (45) = \frac {\sqrt {8}} {HF}\\HF = \frac {\sqrt {8}} {sin (45)}\\HF = \frac {\sqrt {8}} {0.7071}\\HF = 4

Now we find the angle FHE, which by definition will be given:


tg (FHE) = \frac {3} {HF}\\tg (FHE) = \frac {3} {4}\\tg (FHE) = 0.75\\FHE = tg ^ {- 1} (0.75) = 36.86989765

Incidentally, the cosine of the FHE angle will be:


cos (36.86989765) = 0.6755

Answer:

0.6755

User Tamica
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8.4k points