Lighthouses Ocean
lighthouses ocean
Angle of depression any one and please include a step by step procedure...thanx!!?
The angle of depression from the top of a flagpole on top of a lighthouse to a boat on the ocean is 37°, while the angle of depression from the bottom of the flagpole to the boat is 36.8°. If the boat is 1 mile away from shore and the lighthouse is right on the edge of the shore, how tall is the flagpole? Round your answer to the nearest foot.
First, draw a picture from your words.
.....Top _____________________________________
Bottom _____________________________________
..........! - - - - - - - - - - - one mile - - - - - - - - - - - - Boat
Draw slanted lines from left ends of Top line and Bottom line
DOWN (depression) to Boat.
Mark the two angles 37 degrees and 36.8 degrees.
Draw a vertical line connecting the right ends to the Boat.
Let x denote the height of the flagpole (from "Bottom" to "Top").
Use the two right triangles you have drawn to develop
an equation with x and solve for x.
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