Question

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Answer 1

75.02 ft

Explanation:

Split the problem into 2 different part. The bottom part of the tree is 5 feet because that's where your eye levels are, so you just have to solve the top part of the tree.

The top part of the tree is solved by finding the height of the triangle. If you remember SohCahToa, the opposite side of the angle is solved using tangent.

tan(angle) = opposite/adjacent

tan(35) = x/100, x is just the unknown height of the tree.

multiply 100 on both side to get x by itself.

x = 100tan(35)

x = 70.02

add that top height of the tree(70.02ft) with the bottom height of the tree(5ft).

70.02+5 = 75.02 ft

Answer 2

Answer:The total height of the tree is 9.002 feet

Explanation:

The given triangle bus a right angle triangle. With 35 degrees as the reference angle, the hypotenuse of the triangle is the longest side of the triangle. The opposite side of the triangle is the height of the tree.

The adjacent side of the triangle is his distance from the base of the tree. Therefore, adjacent side = 100 feet.

To determine the height if the tree, we would apply trigonometric ratio.

tan # = opposite side/adjacent side

tan 35 = opposite side/100

opposite side 100tan35 = 100×0.7002 = 7.002

The total height of the tree would be 7.002 + 2 = 9.002 feet