Given δabc, m∠a = 50°, m∠b = 60°, and a = 7. find c.

8.59 to the nearest hundredth.

Step-by-step explanation:

As there are 180 degrees in a triangle:

m <C = 180 - 50 - 60 = 70 degrees.

Using the Sine Rule:

a / sin A = c / sin C

7 / sin 50 = c / sin 70

c = 7 * sin 70 / sin 50

= 8.587 .

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c