Han says that you can wrap a 5-foot rope around a wheel with a 2-foot diameter because is less than pi. Do you agree with Han? C
2 answers:
Given :
Han says that we can wrap a 5 foot rope around a wheel with a 2 foot rope.
To Find :
It this true or false.
Solution :
Radius of wheel, r = 1 foot.
Circumference of wheel is given by :
Since, circumference is greater than 5 foot, therefore, we cannot wrap a 5-foot rope around a wheel with a 2-foot diameter.
Hence, this is the required solution.
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Answer:
Hector's kite is 61.84 feet from the ground.
Step-by-step explanation:
The angle of elevation of the kite is 42°15’30” when converted to decimals, it is ≅
Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,
Sin θ =
Sin =
⇒ x = 86 x Sin
= 86 x 0.6725
= 57.835
x ≅ 57.84 feet
The height of Hector's kite from the ground = x + 4
= 57.84 + 4
= 61.84 feet