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You are standing 40 meters from the base of a palm tree that is leaning 8° from the vertical away from you. The angle of elevation from your feet to the top of the tree is 20.5°.

You are standing 40 meters from the base of a palm tree that is leaning 8° from the-example-1
User Andrey Kriachko
by
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1 Answer

11 votes
11 votes

Step-by-step explanation

To get the answer, we will have to sketch the diagram below

Thus, the angle at B is


90^0+8^0=98^0

The angle at A is


20.5^0

The length of the tree is Y

so the angle at C will be


180^0-98^0-20.5^0=61.5^0

Part B

The value of Y can be calculated using the sine rule


(\sin61.5^0)/(40)=(\sin 20.5^0)/(y)

The value of y will be


\begin{gathered} y=(40*\sin 20.5^0)/(\sin 61.5^0) \\ \\ y=(14.01)/(0.8788) \\ \\ y=15.942 \\ \\ y=15.9m \end{gathered}

The value of y = 15.9 m

You are standing 40 meters from the base of a palm tree that is leaning 8° from the-example-1
User Rubel
by
2.8k points