Posted by **haley** on Tuesday, September 14, 2010 at 7:38pm.

from the top of a bridge over the burlington canal, maria looks down at a sailboat at an angle of depression 15 degrees.the bridge is 18m above the water. calculate the horizontal distance from the bridge to the sailboat

- math (trig) -
**MathMate**, Tuesday, September 14, 2010 at 8:19pm
You are looking at a right triangle of which one angle is 15°, the opposite side is 18m (vertical).

From the definition of tangent,

tan(θ)=opposite (18m) / adjacent (H)

where H is the horizontal distance required.

Solve for H since θ and opposite are known.

## Answer this Question

## Related Questions

trig - The high level bridge, a railway bridge that crosses the Oldman River is ...

Math, Trig - The high level bridge, a railway bridge that crosses the Oldman ...

trig - 53. A 60-foot drawbridge is 24 feet above water level when closed. When ...

Math - trigonometry - A bridge is 70m long. From the ends of the bridge the ...

Math - A bridge over a river is supported by an arch. The function that ...

Math - The underside of a bridge has a shape of a parabolic arch. It has a ...

Gr. 12 Math - Trigonometry 3D - From the top of a 1900 m mountain, the angle of ...

Math (last question I swear!) - Leroy is 6.5 ft tall and standing on a bridge. ...

science - what happens to the load on a bridge that carries the Goeta Canal when...

math - The angle of elevation from a buoy to the top of a bridge is 19 degrees. ...