SOLUTION: A tower 125 feet high stands on the side of a hill. At the point 240 feet from the foot of the tower, measured straight down the hill, the tower subtends an angle of 25 degrees. Wh

Question 1172081: A tower 125 feet high stands on the side of a hill. At the point 240 feet from the foot of the tower, measured straight down the hill, the tower subtends an angle of 25 degrees. What angle does the side of the hill make with the horizaontal?
Answer by Edwin McCravy(20062) (Show Source): You can put this solution on YOUR website!


 



You can solve that with a TI-84 calculator, using X for θ:

Put the calculator in degree mode if it isn't already. (Press MODE, highlight DEGREE)
Press Y=
Put (240sin(X)+125)/(240cos(X)) for Y1
Put tan(240+25) for Y2
Press ZOOM 7 
Wait till it finishes graphing
Press 2nd trace 5
Press enter 3 times

Read this:
 
Intersection
X=10.764405      Y=0.7202788

That value for X is the answer in degrees.

Edwin

RELATED QUESTIONS
a tower stands vertically on the ground at a point on ground 2m away from the foot of... (answered by josgarithmetic)

On a hill, inclined at an angle of 14.2o with the horizontal stands a vertical tower. At... (answered by KMST)

a cathedral tower 200 feet high is 250 feet from a chruch tower 150 feet high. On top of... (answered by solver91311)

A 119-foot tower is located on a hill that is inclined 32° to the horizontal, as shown... (answered by math_tutor2020)

a 120 foot tall tower is to be erected on the side of the hill with a 6 degree angle from (answered by ikleyn)

A cathedral tower 200 feet high is 250 feet from a chruch tower 150 feet high. On top of... (answered by ankor@dixie-net.com)

a 50 foot tower is located on the side of the mountain that is inclined 35 degrees to the (answered by ankor@dixie-net.com)

One tower is 200 ft. high and is 250 feet away from another building that is 150 ft.... (answered by scott8148)