Question

Hello!

Please only answer if you know the answer, the comment section is right below. Please don't waste my points!

Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.

The image is down below. Show work! Thanks!

Answer 1

• 7.71 km²

Explanation:

Area of triangle:

• A = 1/2bh

We have the value of b but not h.

Added auxiliary segments which help to find the value of h.

See attached for details

• sin 40° = h/4
• h = 4 sin 40°
• h = 2.57 km

The area is:

• A = 1/2*6*2.57 = 7.71 km²