Need help with my trig homework

The 30º-60º-90º triangle is a special case you'd do well to remember, because the legs always occur in the same ratio to one another. As your picture shows (I'm guessing "SL" stands for short leg?), the sides labeled 4, y and x occur in a ratio of 1 to √3 to 2.

This means

sin(30º) = SL/(2*SL) = 1/2

tan(30º) = SL/(√3*SL) = 1/√3

(and also cos(30º) = (√3*SL)/(2*SL) = √3/2, though you don't really need that here)

So in this triangle, x and y satisfy

sin(30º) = 4/x

tan(30º) = 4/y

This comes straight from the definitions of sine and tangent. Then

4/x = 1/2  ==>  x = 8

4/y = 1/√3  ==>  y = 4√3

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

it is true

step-by-step explanation:

all the combinations add up i used   calculator