One day Jane was planning her son's Mateo birthday party. She wanted to put up a piñata but she wanted to find the perfect height for it. She wants to know how high the piñata might be so she decides to use a trig function. Jane is a looking at a tree from a 55 degree angle and is standing 12 feet away from the tree which would be tan(55) 12/x=8.40 which means the height of the piñata when pulled up would be 8 ft high.
Michael finds another tree but he wants to figure out how far Mateo would be from piñata. To test this he climbs on top of the tree. Michael is sitting on top of a 14 ft tree and he sees Mateo. Mateo is 7 ft away from the base of the tree. Mateo's eyesight is 3.5 ft and so Michael decides to use a trig function which would be tan-1 (10.5/7)=12.07° which means that the angle depression from the piñata to Mateo is 12° but since Jane is competitive she decided to stick with her tree.
Xiomara was setting up tables for the party. The sun was hitting her so hard that she felt like she was burning. She decided to put up a carpet so that it could cover everyone from the sun during the party. Xiomara wanted to tie the rope that was holding the carpet to the top of the house but wanted to know the height first. She was looking at the house from a 64 angle of elevation and the house was casting a 36 ft shadow and so she decided to use a trig function which would be 36*cos(64)=14.10 ft. So the house is 14 ft tall.
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