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If ∠G measures 40°, ∠F measures 49°, and f is 7 feet, then find g using the Law of Sines. Round your answer to the nearest foot.

triangle EFG with side e across from angle E, side f across from angle F, and side g across from angle g


4 feet

5 feet

6 feet

7 feet

Respuesta :

4804220768

Answer:

6 feet

Step-by-step explanation:

C. 6 feet

Length of Side g is 6 feet

What is Trigonometric functions?

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given,

∠F = 49°

Length of side f = 7 feet

∠G = 40°

length of side g = ?

According Sine rule,

[tex]\frac{\sin E}{e}=\frac{\sin F}{f}=\frac{\sin G}{g}[/tex]

[tex]\frac{\sin 49}{7}=\frac{\sin 40}{g}[/tex]

[tex]{g}=7(\frac{\sin 40}{sin 49})[/tex]

g = 5.96 ≈ 6

Hence, length of side g is 6 feet.

Learn more about Trigonometric functions

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