A person noted that the angle of elevation to the top of a tree was 65 degrees at a distance of 11 feet from the tree. Using the diagram approximate the height of the tree.
5.128 feet
26.005 feet
12.14 feet
23.590 feet
2 answers:
Answer:
approximate 23.590 feet
Step-by-step explanation:
tan 65° = x / 11 = 2.145
x = 11 x 2.145 = 23.595
Answer: 23. 590
Step-by-step explanation:
Fromthe diagram attached here
hypotenuse = 11
adjacent = height of tree =x
θ = 65
Tan θ = Opposite / adjacent
tan65 = x / 11
cross multiply
x = 11 × tan65
x = 11 × 2. 1445
x = 23. 589
x = 23. 590 approximately
Therefore the height of the tree is 23. 590
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