In the right triangle with the 110 ft ladder as the hypotenuse, the side opposite the 72° angle represents the maximum height the ladder will reach. The definition of the sine function tells you ...

Sin = Opposite/Hypotenuse

so the Opposite side will be ...

ladder height = (110 ft)sin(72°)

6 0

3 years ago

A ship traveled for a total of 72 miles over the course of 6 hours. Heading south, the ship traveled at an average speed of 13 m

Alexxx [7]

Recall your d = rt, distance = rate * time

the rate going south is 13, the rate going east is 10

it took a total amount of 6hours and 72miles for the whole travel

so.. if going say hmmm South, it covered a distance of "d", then going East it covered a distance of the slack from 72 and "d", it covered "72 - d" miles

so, if going South it took "t" hours, then going East it took the slack from 6 and "t", or "6 - t" hours

thus $\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
South&d&13&t\\
East&72-d&10&6-t
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=13t\\
72-d=10(6-t)\\
----------\\
72-\boxed{13t}=10(6-t)
\end{cases}$

solve for "t"

so, it travelled East for 6-t hours

3 0

4 years ago

the moon is about 240,000 miles from Earth.What is the distance written as a whole number multiplied by a power of ten?

Trava [24]

The answer is 63403380965376 with 40 zeros behind it I know it's a lot 634033809653760000000000000000000000000000000000 000000

3 0

4 years ago