A person of height 150cm is 12.5cm away from a coconut tree. The angle of elevations is 45 what is the height of the tree
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Answer:
Step-by-step explanation:
- CONSIDER A RIGHT ANGLED TRIANGLE 'ABE'. RIGHT ANGLED AT B AND 45° AT E.
- PRODUCED C DOWNWARD FROM AB AND PRODUCED D DOWNWARDS FROM E.
- ED = BC = 150 CM ( ED = PERSON HEIGHT AND EBCD IS PARALLELOGRAM )
- TAN45° = AB / EB
1 = AB / 12.5
AB = 12.5 CM
- HEIGHT OF COCONUT TREE = AB + BC
12.5 + 150 = 162.5 CM
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