Will give Brainliest!! pleases help, math. 1. Solve triangle ABC if A = 50°, a = 10, and b = 20. If no triangle exists, explain why.

2. Solve triangle ABC if A = 65°, B = 65°, and c = 6. If no triangle exists, explain why.

3. A surveyor is trying to find the length of a lake. He finds a baseline distance AB
of 125 m. Angle A is measured to be 41.6° and angle B is measured at 124.3°.
Find the length of the lake d.

a = sqrt(b^2 + c^2 - 2bc cosA) = sqrt(13^2 + 6^2 - 2 * 13 * 6 * cos 50) = sqrt(169 + 36 - 156 cos 50) ≈ sqrt(205 - 100.3) ≈ sqrt(104.7) ≈ 10.2

a ≈ 10.2

c / sin C = a / sin A

sin C = c sin A / a = 6 sin 50 / 10.2 ≈ 0.4491

C = arcsin(0.4491) ≈ 26.7

C ≈ 26.7°

B = 180 - A - C ≈ 180 - 50 - 26.7 ≈ 103.3

B ≈ 103.3°

Step-by-step explanation:

one that is bigger than 3 1/2

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles