Question

Consider triangle efg. a right triangle efg with base eg of 10, opposite ef of 8, and hypotenuse fg of 12 what is the approximate measure of angle g? a. 82.8 ? b. 55.8 ? c. 94.8 ? d.

Answer 1

b)55.8

Explanation:

The measure of angle G in triangle EFG can be found using the trigonometric ratio of sine. In this case, we can use the opposite side (EF) and the hypotenuse (FG) to find the sine of angle G.

First, let's write down the given values:

Base side (EG) = 10

Opposite side (EF) = 8

Hypotenuse (FG) = 12

To find the sine of angle G, we use the formula:

sine(G) = opposite/hypotenuse

Substituting the given values:

sine(G) = 8/12

Now, let's find the approximate measure of angle G. We can use a calculator or table to find the inverse sine (sin^(-1)) of 8/12.

Approximately, angle G is equal to 55.8 degrees.

Therefore, the correct answer is option b) 55.8.