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On a windy day you are flying a kite and notice that you have released 200 m of string. The height of the kite is 40 m in the air. Determine the angle of elevation the kite makes with the ground.

 Feb 14, 2021
 #1
avatar+7 
+1

 Simon has $2500 to invest for a trip to Florida in 5 years. He is planning on investing his money at 3.5%/a, compounded quarterly. How much does Simon have in 5 years?

 Feb 14, 2021
 #2
avatar+98 
+6

Please post only one question per thread, but here goes.

 

For the trig question, then you notice that the hypotenuse of the right triangle is 200, and the height is 40. We then see the angle of elevation is just the sine of 40/200, or simplified: $sin(\frac{1}{5})$. 

 Feb 14, 2021
 #4
avatar+120127 
+1

Just  to add to CitrusCornflakes  response

 

arcsin (1/5)  ≈   11.54°    = angle of elevation

 

 

cool cool cool

CPhill  Feb 14, 2021
 #3
avatar+98 
+6

For the compound interest question, notice how it is compounded quarterly, which essentially means compounding by an extra $\frac{7}{8}$ percent per quarter. So just raise $100+\frac{7}{8}$ as a percent to the power of 20 (20 quarters becomes 5 years) and multiply that by the starting \$2500. So use the equation $2500*(1+0.035/4)^20$ to evaluate. That gives you an approximate of $2975.85$ dollars.

 

stonks go brrrr

 Feb 14, 2021

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