One day Liam was at the park flying his kite when all of a sudden a strong wind ripped the kite out of his hands and flew into a tree that is 20ft from the ground. LIam wants to know how far away he is from the tree so he decides to use trig. When plugged in 20/(tan)30=35 he found out he is only 35 feet away.
After Liam got his kite he went home happy as could be but on his way his brother Mason happened to be in the front yard trying to get his soccer ball down from the roof.
llThe house is 25ft tall and he is 7 ft away from the house he wants to use trig to find out the angle of elevation of him to the soccer ball. Liam figures out that tan-1 (25/7) =74.4.
LIam and Mason went inside to find their mother struggling to reach a bag of flour on the top shelf of a cabinet in their kitchen. Their mother asked if they could help her try to get it down. Liam sees that he is 12 ft away from the cabinet and the angle of elevation is 450. Liam tells his mom ,to figure out the height of the cabinet they need to use tan (45) x 12 = 12ft so the height of it is 12ft.
At the end of the day Liam got his kite, Mason got his soccer ball, and their mom got her flour but most important everyone noticed the importance of trigonometry .
Liam and Mason were capable of finding the angle, distance and height by using trigonometry.