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Tutor profile: Brian A.

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Brian A.
Well it isn't rocket science! But I understand that it could feel like it.
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Questions

Subject: Pre-Calculus

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Question:

A 41 meter guide wire is attached to the top of a 34.6 meter antenna and to a point on the ground. What angle, in degrees, does the guide wire make with the ground?

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Brian A.
Answer:

We draw our triangle with the antenna being the vertical line, the ground our horizontal one, creating a right angle, and the guide wire connecting the two ends completing the triangle. The vertical one is 34.6 m and the hypotenuse or guide wire is 41 m. We are looking for the angle between the ground/horizontal line and guide wire/hypotenuse. This means we need to use sine because the lengths we know are opposite of the angle and the hypotenuse of the triangle. sin(a) = 34.6 / 41 => a = 57.6 deg

Subject: Geometry

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Question:

The circumference of a circle is 30 (pi). What is its area?

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Brian A.
Answer:

The circumference (C) of a circle is given by the formula C = 2(pi)r, where r is the radius of the circle. We know C, so we can find r. 30 (pi) = 2 (pi) r r = 15 Therefore, the radius of the circle is 15. now we use this to find the area of the circle. The area of a circle is given by the formula A= (pi) r^2. Substitute the length of the radius into this formula and calculate the area. A =(pi)(15)^2 = 225(pi)

Subject: Physics

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Question:

An airplane starts at rest and accelerates down a runway at 3.20 m/s^2 for 32.8 s until it finally lifts off the ground. Determine the distance traveled before takeoff.

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Brian A.
Answer:

We know the following: initial velocity (vi) is 0 m/s because it starts from rest acceleration (a) is 3.2 m/s^2 (stated) time (t) is 32.8 s (stated) We are looking for the following: distance (d) Based on our 4 kinematics equations, we are looking one that has vi, a, t, and d, which means we will use the following equation: d = vi*t + 0.5*a*t^2 We plug everything in: d = (0 m/s)*(32.8 s)+ 0.5*(3.20 m/s2)*(32.8 s)^2 Our answer: d = 1720 m

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