Question

The rotunda of a shopping mall is in the shape of a triangle. Members of a local scout troop plan to walk around the outer edge of the rotunda 5 times to increase awareness of physical fitness. If they walk at an average speed of 3 miles per hour, how long should it take them to the nearest minute?

Answer 1

NAHHHHH MY BRAIN HURT FORGET THIS IM OUT

Answer 2

We're definitely missing some information. Were you given an image along with the question?

Answer 3

oh yea
lemme just 100 degree opp 1200 and hyp 1750

Answer 4

Okay, yeah I found the question online

Answer 5

So we have an angle and we have two adjacent sides

Are you familiar with the law of cosines?

Answer 6

yes

Answer 7

can you plug in the two sides and the angle and calculate the third side of the triangle?

Answer 8

\( c^2 = (1200)^2 + (1750)^2 - 2(1200)(1750) \cos(100)\)

can you solve for c?
which is the length of the third side of the triangle

Answer 9

2287

Answer 10

Good, a more precise answer would be 2287.32

So what is the perimeter of the triangle?

Just add up all three sides

and then remember that it mentions that they walked around this triangle rotunda five times?
Multiply the perimeter by 5

Answer 11

so 14091.6?

Answer 12

26185*

Answer 13

How did you get that?

5 * (1750 + 1200 + 2287.32)

Answer 14

\(\color{#0cbb34}{\text{Originally Posted by}}\) @tzx
26185*
\(\color{#0cbb34}{\text{End of Quote}}\)

There you go!

Answer 15

So that's how many feet they walked

and their average speed was 3 miles per hour

so we first need to convert 26,185 feet to miles

5280 feet = 1 mile

26,185 feet = ?? miles

Answer 16

4.959 miles

Answer 17

Good!

So they're going to walk 4.959 miles

and their average rate is 3 miles per hour

we want to know how long it takes them to walk it in MINUTES

so first let's find out how many hours it takes

Answer 18

How would we calculate the time they take to walk?

Is it the top one or the bottom one? In which one does the miles cross out giving you an answer in terms of hour

Answer 19

uhh 99 mins right?

Answer 20

You got the final answer!

You went ahead and divided by 3 to get hours and then multiplied by 60 to go from hours to minutes

Answer 21

ty <3

Answer 22

You're welcome!! And also, welcome to QuestionCove! :)