Please help me on this

Question

asked Nov 28, 2020 128k views

2 Answers

Tamica · Answer 1 · 2020-12-03T11:56:11+0000

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