Answer and Step-by-step explanation:
90ft = a
55ft = b
50ft = c
Plug into equation.

29.4° is the answer.
The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.
<h3>What is the Pythagoras theorem?</h3>
The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.
After drawing a right-angle triangle from the above information.
Applying Pythagoras' theorem:
60² = 6² + x²
After solving:
x = 59.69 ≈ 59.7 foot
Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.
Learn more about Pythagoras' theorem here:
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If you look at the picture, you set it up as part over whole is equal to percent over 100. then you just multiply across.
Since density is the ratio of mass to (in this case) area, we can find the mass of the triangular region
by computing the double integral of the density function over
:

The boundary of
is determined by a set of lines in the
plane. One way to describe the region
is by the set of points,

So the mass is



