Maggie is walking home from school one day when she sees a telephone phone pole in her front yard. She stops to examine it and decides to use trig. Since she is 10 feet away and looking up at it from a 70-degree angle, Maggie uses tangent. She discovers that tan(70)x10 = 27.5. This means that the pole is 24.5 feet.
Next, Maggie becomes curious about more things in her house. She notices a soccer ball on the roof and wonders how tall of a ladder she will need in order to get it down. Maggie knows her house is 15 feet tall and that she is her angles to the top of the house is 48. Using trig. she calculates 15/ sin(48)= 20.2. Maggie needs a ladder that is at least 20.2 feet.
Maggie seems satisfied with her calculations when she walks in her house and notices the new lamp her parents just had installed. Maggie measures the length of the area from ceiling to floor and finds it to be 15 feet. She is standing 25 feet away from the bottom of the lamp. So, she uses trig. to figure out the angle of elevation. Maggie finds out that the angle is cos-1(12/3)= 53.1. This means that her angle of elevation is 53.1 degrees.
Maggie was tired after all the math she did that she decided to take a nap before doing homework.
When she wakes up she realises that she has calculated almost everything in the house and that her work is done
Maggie decides its time to do homework and starts on her way to her room. Before she can reach the top, she wonders how tall the top stair is from the bottom one. She knows the back wall is 5 feet tall and that the angle of elevation from the bottom up is 63 degrees. Again uses trig to determine how long the stares are. She uses 5/sin(63)= 5.6. The stairs are 5.6 feet.
Finally, she makes it to her room where she can start her homework. She realizes her backpack is on top of the upper bunk bed. Maggie is standing at an elevation of 28 degrees and the diagonal is 9 feet. She wants to know how far away she is standing. Maggie uses trig. by doing cos(28)x9= 7.9. She now knows that she is standing 7.9 feet away.