A laser pointer attached at the top of a lighthouse emits a beam that makes contact with a ship in the ocean below. The length of the laser beam is 9.8km. If the ship is 4.0km from the base of the lighthouse, determine the measure of the angle of depression, correct to the nearest degree.
I'm not sure if this is correct:
I did:
Cosx= adj/hyp
Cosx= 4.0km/9.8km
X = cos-1 = 4.0km/9.8km
X = 65.91049389
Nearest degree would be 66 degree
3 answers
looks good...TALL lighthouse
Ok thanks. But you are sure it is 100% correct right? I'm sorry I'm just asking because I have a test this week and I'm stressed out..
I agree with Scott.
For the given date, the calculations are correct.
In reality, the question is absurd.
Using Pythagoras, the height of the lighthouse would have to be appr 8.9 km high.
and, using our given angle of 65.91..°
tan 65.91 = height/4
height = 4tan 65.91 = appr 8.9
Your answer is mathematically correct
For the given date, the calculations are correct.
In reality, the question is absurd.
Using Pythagoras, the height of the lighthouse would have to be appr 8.9 km high.
and, using our given angle of 65.91..°
tan 65.91 = height/4
height = 4tan 65.91 = appr 8.9
Your answer is mathematically correct
1 answer