Transcript Lilly`s Adventures in Trigonometry

Lilly’s Adventures in
Trigonometry
This is my 8 month old puppy Lilly. Lilly loves getting
into trouble and going on adventures, but today she
needs your help. Lilly has encountered some situations
that require trigonometry. She is asking all of you to
use your math skills to help her get through her day.
For each of Lilly’s adventures, draw and
label a diagram that best illustrates the
situation. Then, using what we have done
in trigonometry so far, solve the problem
and help Lilly! Please show all work
and circle your final answers. Round all
answers to the nearest hundredth.
While Lilly was outside this morning for her A.M.
run, she spotted a squirrel in a tree. Being a
puppy, Lilly loves squirrels. She makes an angle
of elevation of 42 degrees with the squirrel
while standing 15.3 feet from the bottom of the
tree. How high would Lilly have to climb in order
to retrieve the squirrel (in other words, how tall
is the tree)?
After taking a nap on the plane, Lilly starts to get
impatient. She again looks out the window, but
this time she spots Quinn running around his
backyard. At the moment she looks out the
plane, she is 17,500 feet high and Quinn’s
backyard is 10,234 feet away (horizontal
distance). Find the angle of depression Lilly
makes with Quinn’s backyard.
Quinn, I can
see you!
Quinn went shopping and got a cool new pair
of goggles. He wanted to try them out so he
went for a swim. While on the surface of the
water, Quinn makes an angle of depression of
36 degrees with a chew toy at the bottom of
the pool. Quinn is 5 feet away from the toy
(horizontal distance). How deep is the pool?
Lilly and Quinn decided to go on a date to New York City.
While in New York City, they stopped at the Empire State
Building. They are amazed at how tall it is and wonder how
big the antenna on top of the building is. While standing 301
feet away, Lilly makes an angle of elevation of 76.2 degrees
with the top of the antenna while Quinn makes a 74.8 degree
angle of elevation with the bottom of the antenna. How tall is
the antenna?
Now it’s your turn!
What is Lilly going to do next?
What is your word problem about?
Create your own word problem using the angle of
elevation or angle of depression. It can be about Lilly
or something else of your choice. You may use this
PowerPoint for example problems.
Design a PowerPoint slide with your word problem
on it. When you are finished, print it out, draw a
diagram, and solve your problem!
You may add clipart pictures to your slide if you
would like. Please staple your printed out word
problem to the back of your graded assignment
packet.