From the top of a 200-foot lighthouse, the angle of depression to a ship on the ocean is 20°. How far is the ship from the base of the lighthouse?

(a) About 400 feet

(b) About 490 feet

(c) About 550 feet

(d) About 690 feet

Question

From the top of a 200-foot lighthouse, the angle of depression to a ship on the ocean is 20°. How far is the ship from the base of the lighthouse?

(a) About 400 feet

(b) About 490 feet

(c) About 550 feet

(d) About 690 feet

anonymous · Answer

https://docs.google.com/document/preview?hgd=1&id=1x_k5N2jMNiJr0-4nRDSMo1upJ2TuXC_meLR0zk6fMuo&pli=1

anonymous · Answer

HEY KATHY WATS THE ANSWER

jdoe0001 · Answer

|dw:1379966936899:dw|

anonymous · Answer

OH I SEE

anonymous · Answer

$$200 \text{ Cot}[20{}^{\circ}]=549.495 \text{ feet} $$
Angle of depression equals the angle of elevation.

jdoe0001 · Answer

if the angle of the depression is 20 degrees, notice what the angle below that will be they're both "complementary angles", thus |dw:1379967161511:dw| so, check your http://www.mathwarehouse.com/trigonometry/images/sohcohtoa/sohcahtoa-all.png