The angle of depression from the top of a lighthouse to the base of a boat out at sea is 10°. if the lighthouse is at the
edge of land and is 82 meters tall, approximately how far out at sea is the boat?
15 m
176 m
465 m
711 m

Option C (465 meters).

Step-by-step explanation:

This question can be solved using one of the three trigonometric ratios. The height of the lighthouse mentioned is 82 meters and the angle of depression is 10°. It can be seen that the required distance is given by x meters. This forms a right angled triangle, as it can be seen in the diagram. The perpendicular is given by 82 meters, the base is unknown, and the angle of 10° is given, as shown in the attached diagram. Therefore, the formula to be used is:

tan θ = Perpendicular/Base.

Plugging in the values give:

tan 10 = 82/x.

x = 82/tan 10.

x = 465.045109209  meters .

Therefore, the boat is 465 meters (to the nearest meters) far out in the sea. Therefore, the answer is Option C!!!

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

it's d.

step-by-step explanation:

because: -1(4x + 1y) +2 (1x-3y) distribute each number into the parenthesis.

then you would get: -4x - 1y + 2x -6y combine like terms

and get: 2x -7y

hope my answer has you if not then i'm sorry.