Question

the length of line segment CB is 64 units and the length of line segment BG is 137 units. What is the length of line segment EA?

Answer 1

Please draw the required figure.

Answer 2

any ideas?

Answer 3

Its problem based on trigonometry. Familiar with that?

Answer 4

64 sqrt 2

73sqrt 3

128

146

Answer 5

those are the answers

Answer 6

Yup.

Answer 7

any idea on which one?

Answer 8

oh. I thought u worked it out. Anyways,
First find BA
BA = CB / tan45
BA = CB = 64
AG = BG - BA
AG = 137- 64 = 73
cos(60) = AG / AE
AE = AG / cos 60
AE = 2 * AG = 2*73
therfore AE = 146

Answer 9

what about this one?

A toddler’s playground has two slides on either side. The slide on the left is situated at a 45° angle to the ground and is 64 centimeters away from the base of the playground. The slide on the right is positioned at a 30° angle to the ground and is 106 centimeters away from the playground’s base. What is the total length of both slides on this playground rounded to the nearest tenth of a centimeter?

Answer 10

any ideas?

Answer 11

tan 45 = 1 right!
So, the length of center support should be equal to 64.
Now use Pythagorus theorem to find out length of the slides.

Answer 12

what is the total length of the slides?

Answer 13

Add the two values u get after using pythagorus theorem. Are u familiar with the theorem?

Answer 14

what is the yellow slides hypotenuse?