# Trig

posted by .

A ship is headed directly toward a coastline formed by a vertical cliff (segment BC) that is 80 meters high. At point A, from the ship, the measure of the angle of elevation to the top of the cliff (B) is 10°. A few minutes later, at point D, the measure of the angle of elevation to the top of the cliff has increased to 20°.

Determine the following to the nearest meter.

Segment DC
Segment AC

• Trig -

tan 20 = 80/DC
tan 10 = 80/AC

DC = 80 / tan 20
AC = 80 / tan 10

## Similar Questions

1. ### pre-calculus

a cliff is 125ft high. the angle of depression of a ship from the top of the cliff is 14.6 degrees. determine the distance of the ship from the foot of the cliff. so the angle to the right of the 90 is 14.6 and the side opp. that is …
2. ### Physics

This is a projectile motion problem where I need to find the velocity and angle I launch a ball at to hit a ship. The ball is on a cliff 400 m high, and the ship is 250 m away from the cliff. The ship is moving away at a velocity of …
3. ### Physics

The captain sinks a ship located x distance away with a cannon located on the top of a cliff that is 65m high. if the cannon ball has a velocity of 55m/s and the captain sinks the ship, how far was the ship from the base of the cliff. …
4. ### Trigonometry

A climber, working his way up a vertical cliff stops for a rest on the ledge. The ledge where he stopped is 12 meters wude. The angle of depression from the edge of the ledge to the bottom of the cliff is 72 degree and the angle of …

Can you please check these answers thanks 1. A ladder 14 feet long is leaning against a house. The foot of the ladder is 4.8 feet from the house. Find the angle of elevation of the ladder and the height it reaches on the house. Answer: …
6. ### trig

A plane is flying 12,000 feet horizontally from a tall, vertical cliff. The angle of elevation from the plane to the top of the cliff is 45degrees, while the angle of depression from the plane to a point on the cliff at elevation 8000 …
7. ### math n2

AB is a vertical cliff. C is a point 380m from the cliff. the angle of elevation to the top of the cliff is 58 degrees. calculate the height of the cliff
8. ### trig

From a boat on the bay, the angle of elevation to the top of a cliff is 29°10’. If the bottom of the cliff is 1860 feet from the boat, how high is the cliff (to the nearest foot)?
9. ### Math

A 200-foot cliff drops vertically into the ocean. The angle of elevation from a ship to the top of the cliff is 22.3 degrees. How far offshore, to the nearest foot, is the ship?
10. ### Math

1) A television tower is 160 feet high and an observer is 120 feet from the base of the tower. Find, to the nearest degree, the angle of elevation of the top of the tower from the point of observation. 2) A vertical pole 22 meters …

More Similar Questions