Find the area of the triangle having the indicated angle and sides.
(Round your answer to one decimal place.)

A)4.9
B)5.9
C)7.9
D)6.9
E)11.7

Question

Find the area of the triangle having the indicated angle and sides. ​  ​
(Round your answer to one decimal place.)
​
A)​4.9 
B)5.9 
C)7.9 
D)6.9 
E)11.7

Quizplus · Accepted Answer

Using the formula for the area of a triangle, 
Area = (1/2) * base * height

We are given the length of two sides and the angle between them, which means we can use trigonometry to find the height.

sin(50°) = height / 8 
height = 8 * sin(50°)

Now we can plug in the values: 
Area = (1/2) * 6 * (8 * sin(50°)) 
Area ≈ 5.9

Therefore, the answer is choice B.

Find the Area of the Triangle Having the Indicated Angle