Answer:
Jeff has to walk 13.9 m north.
Jeff has to walk 14.3 m futher than Gail.
Step-by-step explanation:
Gail takes a short cut, which is 14.9 m, so Gail moves by the hypotenuse.
Jeff goes the long way. He starts out walking east for 5.3 m, and then turns north, so Jeff mowes by two legs. Let x m be the distance Jeff goes north.
By the Pythagorean theorem,
So, Jeff has to walk 13.9 m north. In total, the long way is
Jeff has to walk
futher than Gail.
Answer:
Step-by-step explanation:
Reference angle = 45°
Opposite side = x
Hypotenuse = √3
Use the following trigonometric ratios formula to find x:
Plug in the values
Multiply both sides by √3
Answer:
Step-by-step explanation:
Without loss of generality, let and
(follows tan(C)=2.4). In a right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side and the cosine of an angle is equal to its adjacent side divided by the hypotenuse.
We can use the Pythagorean Theorem (, where
is the hypotenuse) to solve for the hypotenuse:
Therefore,
Answer:
First part:
Set h(t) = 17and solve for t.
-16t²+ 58t + 7= 17
-16t² + 58t - 10 = 0
Solve this quadratic equation for t. You should get 2 positive solutions. The lower value is the time to reach 17 on the way up, and the higher value is the time to reach 17 again, on the way down.
Second part:
Set h(t) = 0 and solve the resulting quadratic equation for t. You should get a negative solution (which you can discard), and a positive solution. The latter is your answer.
