SOLUTION: From a cliff 385 ft above the sea a coastguard officer observed a sinking boat at an angle of depression of 21.o degrees. Closer to shore she saw a coastguard cutter at an angle o

Algebra ->  Vectors -> SOLUTION: From a cliff 385 ft above the sea a coastguard officer observed a sinking boat at an angle of depression of 21.o degrees. Closer to shore she saw a coastguard cutter at an angle o      Log On


   



Question 80905: From a cliff 385 ft above the sea a coastguard officer observed a sinking boat at an angle of depression of 21.o degrees. Closer to shore she saw a coastguard cutter at an angle of depression of 38.0 degrees. Find the distance between the coastguard cutter and the sinking ship.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
From a cliff 385 ft above the sea a coastguard officer observed a sinking boat at an angle of depression of 21.o degrees. Closer to shore he saw a coastguard cutter at an angle of depression of 38.0 degrees. Find the distance between the coastguard cutter and the sinking ship.
:
Solve this by using the two right triangles formed by the surface, and the cliff,
to the cutter and to the sinking ship. Use the tangent, find the side opposite
:
Using a calc: 385(tan(90-21) - 385(tan(90-38) = 510.2 ft between the cutter & the sinking ship