Question

(GEOMETRY HELP PLS) What is the approximate measure of angle F? Use the law of sines to find the answer.


11.5°

44.4°

68.0°

81.9°

Answer 1

You can just use sine.

Sin(F) = opposite/hypotenuse = 28/40.

F = $sin^{-1}$(28/40)

Plug into your calculator.


44.4

Answer 2

The measure of m<F is 44.4 degree

SOH CAH TOA in trigonimetry idemtity

From the given diagram we have the following

• Opposite  = 28
• Hypotenuse = 40

According to SOH CAH TOA

sin m<F = opp/hyp

sin m<F = 28/40

m<F = 44.4 degrees

Hence the measure of m<F is 44.4 degree
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