Question

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°.

Answer 1

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