The senior classes at High School A and High School B planned separate trips to the state fair. The senior class at High School
1 answer:
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Answer:
The height of tree house is 70.71 feet
Step-by-step explanation:
We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground
Refer the attached figure
Length of rope AC = Hypotenuse =100 feet
The top of a tree house to the ground forms a 45∘ angle of elevation from the ground =
We are supposed to find the height of tree house i.e.AB = Perpendicular
So, Using trigonometric ratio
Hence The height of tree house is 70.71 feet
Answer: <u>110 feet per second</u>
Step-by-step explanation:
In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.
Now we can calculate the speed of the trains in feet per second so:
So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:
Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.
Hey!
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Steps To Solve:
17 - 2v = -53
~Subtract 17 to both sides
17 - 2v - 17 = -53 - 17
~Simplify
-2v = -70
~Divide 2 to both sides
-2v/-2 = -70/-2
~Simplify
v = 35
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Hence, the answer is
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Hope This Helped! Good Luck!