Question

A 15ft ladder is used to clean out the gutters on a house. The angle the ladder forms with the ground is 60 degrees. How far up the house is the ladder?
A. 13
B.15
C.17

Will medal!!

Answer 1

@KendrickLamar2014 @just_one_last_goodbye @Elsa213

Answer 2

Kim is stalking me ;)

Answer 3

Why did you delete that? e.e

Answer 4

idk

Answer 5

I'm getting no help ;-;

Answer 6

Let me see..

Answer 7

I think I'm gonna close it

Answer 8

I havnt dont these types of problems in a long time :(

Answer 9

@johnweldon1993 can you help her?

Answer 10

Sure!

Draw a diagram of the situation



We have a right triangle with the angle of 60 known...we have the hypotenuse as 15...and we want to know the opposite side of the triangle...what trig function uses opposite and hypotenuse?

Answer 11

*or let me know if you haven't used trig before...there are other methods as well :)

Answer 12

Sine

Answer 13

Okay good, trig it is

And right \(\large sin(\theta) = \frac{opposite}{hypotenuse}\)

So we know \(\large \theta = 60\) and we know we want to solve for the opposite...so we just use algebra to write this as

\[\large opposite = 15 * sin(60)\]

Which comes out to what?

Answer 14

So you would multiply 15 * sin(60)? Is that correct? @johnweldon1993

Answer 15

Correct @KendrickLamar2014

Answer 16

-4.57?

Answer 17

Make sure your calculator is in "degrees" mode...not radians :)

Answer 18

Is it B?

Answer 19

It is not...dont guess though it's very easy

Hint* plugging sin(60) into your calculator in degrees mode...comes out to a result of roughly 0.866

Answer 20

Multiply: \[15 \times 0.866\]

Answer 21

A.

Answer 22

There ya go!

Answer 23

Thank you!!

Answer 24

Not a problem!

Answer 25

Thanks for refreshing my memory on this @johnweldon1993 . I appreciate your help :)