calculus
posted by Don .
I need help with the following problem: From a point 50 meters from the bottom of a radio tower along level ground, the angle of elevation to the top of the tower is 67 degrees. What is the height of the tower?

think back, back, back to your days in trig.
If the tower has height h,
tan 67 = h/50
h = 117.8 m 
to solve this problem we need trigonometry therefore takes the radiant
67°*3,14/180=1,17 rad.= a
point P=50m
height tower H=?
L=hypotenuse of the right triangle LPH
P=Lcos(a)=> (i)L=p/cos(a)
(ii)H=Lsen(a)
(i)+(ii)H=[p/cs(a)]*sn(a)
tan(a)=sn(a)/cs(a)===>H=p*tan(a)=118m
Respond to this Question
Similar Questions

math
A radio tower stands on the top of a hill that is 85 feet high. From the bottom of the hill, the elevation angle to the base of the tower is 42 degrees and the elevation angle to the top of the tower is 60 degrees. How tall is the … 
Trig
From a point P on level ground, the angle of elevation of the top of a tower is 27°10'. From a point 23.0 meters closer to the tower and on the same line with P and the base of the tower, the angle of elevation of the top is 51°30'. … 
precalculus
A radio tower is located 450 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 29 degrees and that the angle of depression to the bottom of the tower is … 
Math
1. A rangers tower is located 44m from a tall tree. From the top of the tower, the angle of elevation to the top of the tree is 28 degrees and the angle of depression to the base is 36 degrees. How tall is the tree? 
Math
If an observer stands at a certain point in the same horizontal plane as the base of a radio tower. the angle of elevation of the top of the tower is 13deg 15'. If the observer moves 156.25 feet towards the tower, the angle of elevation … 
Math
from a lockout tower 25 meters high, a man observes from a position 1.70 meters below the top of the tower that the angle of elevation of the top of a nearby building is 12 degrees 40 minutes and the angle of depression of its base … 
trigonometry
Mickey determines that the angle of elevation from his position to the top of the tower is 52°. He measures the angle of elevation again from a point 47 meters farther from the tower and finds to be 31°. Both positions are due East … 
Mathematics
The angle of elevation of the top of a tower from a point 42m away from it base on level ground is 36 degrees find the height of the tower 
Math
From a point P on the ground which is 100m from the foot of a church tower, the angle if elevation of the top of the tower is 50 degrees calculate the height of the tower... 
math
A hiker is 400 meters away from the base of the radio tower. The angle of elevation to the top of the tower is 46 degrees . How high is the tower?