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MAVERICK [17]
3 years ago
12

Need help trigonometry​

Mathematics
1 answer:
pochemuha3 years ago
3 0

Answer:

The measure of angle F is 67.6°

Step-by-step explanation:

In the right triangle DEF

∵ ∠E is the right angle

∵ Side DF is opposite to ∠E

∴ DF is the hypotenuse of the triangle DEF

∵ Side EF is the adjacent side of ∠F

∵ The cosine ratio = \frac{Adjacent}{Hypotenuse}

∴ cos∠F = \frac{EF}{DF}

∵ EF = 8 units

∵ DF = 21 units

→ Substitute them in the cosine ratio above

∴ cos∠F = \frac{8}{21}

→ Use cos^{-1} to find the measure of angle F

∵ m∠F = cos^{-1}(\frac{8}{21})

∴ m∠F = 67.60731219 degrees

→ Round it the nearest tenth of a degree

∴ m∠F = 67.6°

∴ The measure of angle F is 67.6°

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Step-by-step explanation:

It is always good to draw a picture to help you.  In this case

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