trig: how far is boat from base of lighthouse?

[caroline]

a light house has an angle of depression from the top of 34 degrees and is 30 meters tall. how far from the base of lighthouse is the boat?

 

[Deleted member 4993]

Re: trig

a light house has an angle of depression from the top of 34 degrees and is 30 meters tall. how far from the base of lighthouse is the boat?

Please show us your work and exactly where you are stuck.

start with a sketch of the situation.

Hints:

                                                     L
                        H  ........................ *
                                                  / |
                                                /   |
                                              /     |
                                            /       |
                                         B/_________|S
Given

HLB = LBS = 34°

LS = 30

BS = ??

 

[masters]

The angle of depression is equal to the angle of elevation, so angle LBS is also 34 degrees. Mark your figure and choose the correct trig ratio.