Month: October 2017

This week, we learned about how to calculate the side length of a triangle using ratios.  In this example, I used the tangent ratio, to give myself a bit of a challenge.  I really struggled with remembering how to reciprocate the ratio when the X is on the bottom.  The final answer, 46 m makes total sense, because it’s the much larger than the opposite side, but smaller than the hypotenuse.  If this question were to ask me to solve the triangle, I would’ve used Pythagorean Theorem to determine the hypotenuse, and subtracted 90 and 39 from 180 to determine the last angle.

 

This week in Math 10, we talked about how to find the area and volume of a sphere.  In the example shown below, the diameter is 8 cm, and the radius is 4 cm.  The results show that using the formulas show that the volume of this specific sphere is 268.1 cm^3.  The surface area of the sphere is 201.1 cm^2.

This week we learned about conversion between the Imperial and Metric system.  We learned how to convert units between the Metric system, the Metric system to the Imperial system, and how to convert units between the Imperial system.  I’ve found this particularly interesting because I travel to the US a lot, so I’ve always wondered how big miles are in relation to kilometres.