Question

The picture shows a portion of a river dam, what is the height, in meters of the river dam?

Answer 1

@geerky42

Answer 2

do you know SOHCAHTOA?

Answer 3

no i dont

Answer 4

Your problem has Θ = 40°, you have the adjacent side, and want to find the opposite side. Which trig function should you use?

Answer 5

tan right?

Answer 6

right. Try setting up the equation

Answer 7

tan = \[\tan =\frac{ 40 }{ opp }\]

Answer 8

thats not right i did tht wrong

Answer 9

\[\frac{ 100 }{ \sin 40 }\]

Answer 10

So 40° is the angle, so it's tan 40° on the left.

Answer 11

and 100 is the adjacent side

Answer 12

tan 40° = h/100

*where h is the variable I'm using for height

Answer 13

oh okay so \[\frac{ 100 }{ \tan 40 }\]

Answer 14

right?

Answer 15

to get h by itself, multiply both sides by 100.

Answer 16

h = 100 tan 40°

Answer 17

ohh i understand it now, thats the answer h=100 tan 40 thanksman!

Answer 18

you're welcome