Question

Kim's route from her front door to the mailbox, the swing set, and back to the front door forms a triangle. Two legs of the triangle are 245 feet long and they meet at an angle of 38°. How long is the entire route?

Answer 1

I didnt wprk the problem out but i looked it upbecause i had it on a recent test so i hope it helped.
= 649.5 ft

Answer 2

The entire root is approximately 649.53 feet.

Explanation:

Let the triangle is ABC,

Where, AB = AC = 245 feet,

∠A = 38°,

By the cosine law,

`BC^2=AB^2+AC^2-2* AB* AC cos A`

`=245^2+245^2-2* 245* 245 cos 38^(\circ)`

`=245^2(1+1-2cos38^(\circ))`

`=60025* 2(1-cos 38^(\circ))`

`=25449.309`

`\implies BC\approx 159.53\text{ feet}`

Hence, the length of the entire root = AB + BC + CA

= 245 + 159.53 + 245

= 649.53 feet.