Answer: The tree was 27 feet tall
Step-by-step Explanation: First of all Sally was standing 30 feet away from the tree and she looks up at an angle of elevation of 38 degrees to the top of the tree. With this bit of information we can determine that a right angled triangle has been formed with the reference angle as 38 degrees, the side facing it as h (the height of the tree) and the adjacent side as 30. We shall apply the trigonometric ratio as follows;
Tan 38 = opposite/adjacent
Tan 38 = h/30
0.7813 = h/30
0.7813 x 30 = h
23.4 = h
We remember at this point that Sally’s eyes were 4 feet above the ground. What we have just calculated is the height of the tree from “4 feet above the ground” (where her eyes were). Hence the actual height of the tree is calculated as 23.4 plus 4 which gives us 27.4
Therefore the tree was 27 feet tall (approximately to the nearest foot)
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Answer:
None of the above
Step-by-step explanation:
Answer: D
Step-by-step explanation:
The solution to both A and C would total to about 0. Also, in B both numbers are positives, so that would also be out of the case. If you are looking for the least value, the answer would be D since -3/4 -3/4 would equal -1.5, (or -1 1/2). Therefore, your answer would be D.
Hope that helps :D
