SOLUTION: I need help on how to answer this trigonometry question. Any help on a better understanding of the question would be great. Thank you Write an explanation confirming that runnin

Question 1058844: I need help on how to answer this trigonometry question. Any help on a better understanding of the question would be great. Thank you
Write an explanation confirming that running "10 yards out, then 10 yards to the right" puts you in the same place as going "10 , yards at a 45-degree angle."
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
10 yards out and 10 yards to the right forms a right triangles with each leg being 10 yards in length.

a right triangle with legs of equal length is a 45 degree right triangle.

the hypotenuse of such a right triangle would be equal to sqrt(10^2 + 10^2) which is equal to sqrt(100 + 100) which is equal to sqrt(200) which is equal to sqrt(2*100) which is equal to sqrt(2)*sqrt(100) which is equal to sqrt(2)*10 which is equal to 10*sqrt(2).

if you travel along the legs of this right triangle, you are traveling a total distance of 20 years.

if you travel along the hypotenuse of this right triangle, you are traveling a total distance of 10 * sqrt(2) yards.

here's a picture of the triangle formed.

$$$

RELATED QUESTIONS
logx + log(x-3)=1 can you help me find the answer to this question so that i can have a... (answered by solver91311)

Hello. I would like some help not only in finding the answer for this particular... (answered by stanbon)

i need help on... (answered by reviewermath,solver91311)

Greetings, I am an older adult who has always struggled with basic algebra. I am not... (answered by stanbon)

Hope someone can help me with this. The question I have is {{{ sqrt( 1.18 ) }}} BUT... (answered by Earlsdon)

I need some help on an algebra test. Here is the question: Simplify. Make sure to... (answered by stanbon)

Quick question. 23-(x-7) Trying to understand how this is solved. I know the... (answered by josgarithmetic)

i need help understanding this... (answered by rfer)

Hello I need some help with this question which I have been given on my maths past paper. (answered by Alan3354)