Question

Happy Tuesday! Looking for some help with my geometry.

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. This is a multi step question and please answer all five. Show work! Thanks!

Answer 1

Q1

• cos 59° = x/16
• x = 16 cos 59°
• x = 8.24

Q2

BC is given 23 mi

Maybe AB is needed

• AB = √34² + 23² = 41 (rounded)

Q3

• BC² = AB² - AC²
• BC = √(37² - 12²) = 35

Q4

Let the angle is x

• cos x = 19/20
• x = arccos (19/20)
• x = 18.2° (rounded)

Q5

See attached

Added point D and segments AD and DC to help with calculation

• BC² = BD² + DC² = (AB + AD)² + DC²

Find the length of added red segments

• AD = AC cos 65° = 14 cos 65° = 5.9
• DC = AC sin 65° = 14 sin 65° = 12.7

Now we can find the value of BC

• BC² = (19 + 5.9)² + 12.7²
• BC = √781.3
• BC = 28.0 yd

All calculations are rounded