Question

Jim is designing a seesaw for a children's park. The seesaw should make an angle of 45° with the ground, and the maximum height to which it should rise is 1 meter, as shown below:

A see-saw is shown with one end on the ground and the other in the air. The see-saw makes an angle of 45 degrees with the ground. The height of the see-saw from the ground, at the other end, is labeled 1 meter.

What is the maximum length of the seesaw?

1 meter

1.4 meters

2 meters

0.5 meters

Answer 1

https://lh3.googleusercontent.com/A1NbAD16JSI9ezOlxrdzHonOqDJll0ml6fVOYOLV-SE2Fu4ZYkkmo-wtbx6xL_wxqmuRDw=s170

Answer 2

The seesaw, the ground and that "height line" form a 45 45 90 triangle.
Do you know the proportions of a 45 45 90 triangle.
OR you can use the Pythagorean Theorem.

Answer 3

no I am really confused plz explain

Answer 4

would the proportions be 1/2

Answer 5

That drawing isn't very well done. That angle is closer to 30 degrees instead of 45.
Nonetheless we can get an answer.

Answer 6

ok

Answer 7

how do we do it

Answer 8

As I said the drawing is rather poor. Basically, the distance from the bottom of the seesaw on the left to the "1 meter" height line on the right is one meter.

Answer 9

ok

Answer 10

To solve for the hypotenuse, we know the "legs " of the triangle are 1 meter each.
Using the Pythagorean Theorem, side 1 ^2 + side 2 ^2 = hypotenuse ^2
hypotenuse^2 = 1 +1
hypotenuse^2 = 2
hypotenuse = sq root of 2

Answer 11

1.41421356

Answer 12

yes jonathan5824 that is it

Answer 13

that's the answer

Answer 14

yes 1.414 meters

Answer 15

yhea I was right can you help me with one more please you are very helpful

Answer 16

Okay - one more (and thanks)

Answer 17

Look at the figure below:

An image of a right triangle is shown with an angle labeled y.

If sin y° = 7 divided by q and tan y° = 7 divided by r ,what is the value of cos y°?

cos y°= r divided by q

cos y° = 7r

cos y° = 7q

cos y°= q divided by r

Answer 18

https://lh3.googleusercontent.com/PUrKCJu-mhsLrYwvKJbLVV7FXyFOfMphdJefAEttpKb6yLqkLrrzNPu9Z4hZikINee5sksk=s85

Answer 19

Gee, if you don't have a graphic I'll draw one
I think I'll make one

Answer 20

its either A or D pretty sure A though

Answer 21

Here's the graphic

Answer 22

sin y = 7/q

tan y = 7/r

sin = opposite/ hypotenuse
tangent = opposite/adjacent

Answer 23

ok now what?

Answer 24

Here's a new graphic

Answer 25

We can say the opposite side = 7
you see why?

Answer 26

It tells you that in the question though

Answer 27

do you agree with A?

Answer 28

THe question does not say the opposite side is 7

so hypotenuse = q and
adjacent side = r

Answer 29

wait so it would be q/r so D correct?

Answer 30

cosine = adjacent / hypotenuse
cosine = r / q

Answer 31

That would be A

Answer 32

yhea I was correct I have some others but you have helped much thank you

Answer 33

u r welcome :-)