Question

Happy Tuesday! Looking for some help with my geometry.

Answer 1

Answer:

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