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Tutor profile: Libby M.

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Libby M.
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Questions

Subject: Trigonometry

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Question:

There is a right triangle with angle A. The side opposite of angle A is 11m, the side adjacent to angle A is 60m, and the hypotenuse of the triangle is 61m. Please identify the following: sin(A) cos(A) and tan(A)

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Libby M.
Answer:

Based on our basic trigonometric rules, we know that in right triangles sin=opposite/hypotenuse, cos=adjacent/hypotenuse, and tan=opposite/adjacent. From these rules and the information given in the problem, we can deduce the following. sin(A)=11/61=0.180 cos(A)=60/61=0.984 tan(A)=11/60=0.183

Subject: Geometry

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Question:

In a 30-60-90 triangle, the hypotenuse is 10m. What is the length of the shortest side?

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Libby M.
Answer:

The length of the shortest side is 5 based on the rules of a special right triangle. In this case, a 30-60-90 triangle has the following rules as a special right triangle: the side opposite the 30 degree angle is "x", the side opposite the 60 degree angle is "x sqrt3" and the side opposite the 90 degree angle (the hypotenuse) is 2x. In this problem, as we were told the hypotenuse is 10, we would deduce from what we know that 2x=10. We are looking for the length of the shortest side, which by definition would be the side opposite the 30 degree angle. Based on definition, we are looking for x. We know that 2x=10, so using basic algebra, we find that x=5. 5m is the length of the shortest side and the solution to our problem.

Subject: Sociology

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Question:

What is the gender binary and how do parents reinforce this throughout childhood?

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Libby M.
Answer:

Society has created a binary of accepted social standards in terms of gender: male and female. These accepted social standards based on assigned gender are "norms", which includes but is not limited to how one dresses, acts, speaks, etc. This binary is especially present throughout one's childhood, and typically immediately starts at birth. Gender-specific names are given, girls are dressed in pink and boys are dressed in blue. The types of toys that are deemed "acceptable" to play with tend to be very gender specific-- for example, boys play with Nerf guns and girls play with Barbie dolls. The encouragement of children to partake in these expectations by their parents perpetuates this binary.

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