Question

Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 2 meters, as shown below:

(pic in replies)

What is the maximum length of the seesaw?

3 meters
3.5 meter
4 meters
4.5 meters

Answer 1

i think we're doing sin-... im not sure

Answer 2

@AZ

Answer 3

you don't need to do any sin

do you know the relationship of a 30-60-90 triangle?

Answer 4

no...?

Answer 5

if the side opposite 30 is 'x'
then the side opposite angle 60 is going to be \( x\sqrt{3}\)

and the hypotenuse will be 2x

Answer 6

so in your picture, we have the side opposite angle 30 as '2'

so the length of our seesaw (which would be our hypotenuse) is going to be 2 * 2

Answer 7

so its c?

Answer 8

Does that make sense?

When the right triangle has angles of 30-60-90
the sides all follow a pattern of x - \( x\sqrt{3}\) and 2x

right triangles also have a pattern when it's a 45-45-90 triangle

if the angles are anything different then you can use sin/cos/tan

Answer 9

yup

Answer 10

thank you

Answer 11

no problem!