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.
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The measure of angle BCD is 32 degrees
<h3>How to determine the value of BCD?</h3>The image of the parallelogram that completes the question is added as an attachment.
The given parameter is:
m<DAB = 32 degrees
From the attached image, we can see that BCD and DAB are opposite angles.
Opposite angles of a parallelogram are equal.
So, we have:
BCD = 32 degrees
Hence, the measure of BCD is 32 degrees
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