# Math (trigonometry)

posted by .

From a boat on the water, the angle of elevation of the drop of a cliff is 31°. From a point 300 m closer, the angle of elevation is 33°. Find the height of the cliff.

the answer should be 2411 m.

I had tan31° = h/x+(x-300)
tan33° = h/x-300 -> (x-300)tan33° = h.

I subbed the first one into the second:
tan31° = (x-300)tan33°/x+x-300

I'm not sure how to go from there or if what I have so far is even right.

• Math (trigonometry) -

From the top* of a cliff, not from the drop of a cliff.

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### 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 …
2. ### 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 …
3. ### Math

3) From two tracking stations A and B, 350 km apart, a UFO is sighted at C above AB making angle CAB = 32 degrees and angle CBA = 54 degrees. Find the height of the UFO. The answer is 150 km, please explain to me how 4) from a boat …
4. ### Math (trigonometry)

MONDAY  December 3, 2012 SCHOOL SUBJECTS Art Business Computers English Foreign Languages Health Home Economics Math Music Physical Education Science Social Studies GRADE LEVELS Preschool Kindergarten Elementary School 1st Grade 2nd …
5. ### 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
6. ### math

The angle of elevation from a boat to the top of a cliff is 42 degrees. When the boat moves 15 feet closer to the cliff, the angle of elevation increases to 54 degrees. How tall is the cliff?
7. ### Trig

While fishing on a lake, the fisherman looks up at a cliff. His boat is 23 ft from the base of the cliff, and the angle of elevation is 40 degrees. Find the height of the cliff to the nearest tenth of a foot.
8. ### Math

A boat is 300m away from the foot of a cliff. The angle of elevation from the boat to the top of the cliff is 16 degrees. a) Determine the height of the cliff to the nearest meter. b) If the boat sails 75 m closer to the cliff, determine …
9. ### Math

A boat is 300m away from the foot of a cliff. The angle of elevation from the boat to the top of the cliff is 16 degrees. a) Determine the height of the cliff to the nearest meter. b) If the boat sails 75 m closer to the cliff, determine …
10. ### Trigonometry

A boat is 100 m from the bottom of a 75 m high cliff. Calculate the angle of elevation from the boat to the top of the cliff. (I've been trying to solve it but i have no idea how

More Similar Questions

Post a New Question