Geometry question confused on how to solve this answer

Mathematics

1 answer:

AleksAgata [21]1 year ago

5 0

The acute angles of a right triangle are complementary, so $\boxed{m\angle F=34^{\circ}}$ .

Using right-angle trigonometry, we know that

$\cos 56^{\circ}=\frac{26}{DF}\\\\DF=\frac{26}{\cos 56^{\circ}}\\\\\boxed{DF \approx 46.5}$

$\tan 56^{\circ}=\frac{FE}{26}\\\\FE=26 \tan 56^{\circ}\\\\\boxed{FE \approx 38.5}$

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