We then did questions from the text book.
17. Two sides of a triangle are equal in length, and each increases at the constant rate of 2 in/min. The angle between these two sides increases at the constant rate of 1 rad/min. Determing the rate of change of the third side at the moment that the other two sides are each 10 inches long and their included angle has a measure of π / 2 radians. [HINT: The Law of cosines may be helpful]
NOTE: I don't think the answer I got is right. I was pretty close though
(da/dt= 14 √2 in/min). I think i did some miscalculations. I was trying to figure out where i went wrong and i still couldn't find the mistake/s . =( Can someone please help me and tell me where i went wrong. That would be greatly appreciated =).....
********Right Answer from back of text: da/dt= 7√2 in/min****************
We then did a group work assignment about Stan the Clause =)
Stan the Clause.
It's Christmas Eve and children are asleep all across the land, waiting for Santa to bring them gifts. However, naughty children will be visited by Stan the Clause in his flying can. Stan is flying over the town in an altitude of 500 feet, heading towards a naughty little boy's house. He is flying at a horizontal speed of 125 mph. Find the rate at which the angle of elevation from the naughty boy's house to the flying can is changing in radians per second when the angle of elevation is
π / 12.
HINT: There are 5280 feet in one mile
Sorry guys for posting late and if my photos are blurry!!!!!!!!!
I pick u Danny for scribe. : )