Question

Lars rides a chairlift to the top ofa mountain. The chairlift rises at a constant angle of 37°. If the length of the chairlift ride is 1,392 m, what is the elevation gain from the base of the chairlift to the top? Draw a right triangle to model this problem and use the Gizmo to find sin 37°. Show your work.

Elevation gain:

Answer 1

@jhonyy9

Answer 2

i believe the answer is 3/5

Answer 3

drawn this right triangle please

Answer 4

sin 37 = BC / 1392

yes ?

Answer 5

sin 37 = opposite side divide hypothenuse

Answer 6

what about the question 5

Answer 7

what is q5 ?

Answer 8

it's on the picture i posted

Answer 9

ok. so this is easy just use the sin theorem

Answer 10

sin 12 = oppo / hyp

Answer 11

you dont calcule it ? why ?

Answer 12

In ΔDEF, <F is a right angle. Suppose m<D = 12° and EF = 1.3. Follow the steps below to find the length of the hypotenuse, DE.


A. To solve this problem, first draw a sketch of ΔDEF in the space to the right.


B. You know that sin D = OPP/HYP. In the space to the right, substitute the known values into this equation. Use x for the unknown, DE.


C. Use algebra to solve for x. Show your work to the right. Then, use the Gizmo to find the sine value you need. Finally, find DE with a calculator.


What is the length of DE?

Answer 13

sin 12 = 1,3 / DE

DE = ?

Answer 14

9.2

Answer 15

DE = 1,3 / (sin 12°) = ?

Answer 16

sin 12° = 0,207 so equal 0,21

DE = 1,3/0,21 = 6,19

hope helped

Answer 17

0.20

Answer 18

why 0,20 ? the 3rd term is greater than 5 so we can considering 0,21

Answer 19

it was for sin 12

Answer 20

yes exactly

Answer 21

sorry i took long to answer, i had many tabs

Answer 22

https://www.mathcelebrity.com/anglebasic.php?entry=12&coff=&pl=sin

Answer 23

ok i got that, back to 6 what was the elevation gain

Answer 24

i didn't get that one, it's the top question