The shorter leg of a 30°−60°−90° triangle is 4 in. Find the hypotenuse and the other leg. The length of the hypotenuse is in. The length of the other leg is in.

The length of the hypotenuse is 8 inches; the length of the longer leg is 4√3 inches.

Step-by-step explanation:

Note that tan 60 degrees = (length of longer leg) / (length of shorter leg), or

                tan 60 degrees = (length of longer leg) / 4 in.

Thus, (length of longer leg) = (4 in)(tan 60 degrees)

                                              = (4 in) [√3/1] = 4√3 in

Also, cos 60 degrees = (adjacent side) / (hypotenuse.  We want to find the hypotenuse and thus solve this equation for it:

(hypotenuse) = (adjacent side) / (cos 60) = (4 in)( 2/1 ) = 8 in

The length of the hypotenuse is 8 inches; the length of the longer leg is 4√3 inches.

y=mx+b

step-by-step explanation:

m slope

b y-intercept

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.