trigonometry(opt math)
posted by Anamika
From the roof and basement of a house 20m high,the angle of elevation of the top of a tower are 45 and 60 degres respectively. Find the height of the tower.
(Ans=81.97m)

Scott
h = height of tower
d = distance to tower
h / d = tan(60º)
(h  20) / d = tan(45º)
h / (h  20) = tan(60º) / tan(45º)
h = tan(60º) * (h  20)
h [tan(60º)  1] = 20 * tan(60º)
Respond to this Question
Similar Questions

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 trigonometry
two office towers are 31 m apart. From the top of the shorter tower, the angle of elevation to the top of the tall tower is 25 degrees . The angle of depression to the base of the taller tower is 31 degrees. Calculate the height of … 
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 … 
Maths
The angle of elevation of the top of a house from the bottom of a tower 160m high is 26.from the top of a tower the angle of elevation is 24.what is the height of the house if the tower and the height are 50m apart? 
Math
The angle of elevation of the top of house from the bottom of a tower 160m high is 26 degree.From the top of the tower the angle of elevation is 24 degree.What is the height of the house if the tower and the house are 50m apart? 
math
the angles of elevation of the top of a house from the bottom of a tower 160m high is 26° from the top of a tower the angle of elevation is 24°. what is the height of the house if the tower and the house are 50m apart? 
math
the angles of elevation of the top of a house from the bottom of a tower 160m high is 26° from the top of a tower the angle of elevation is 24°. what is the height of the house if the tower and the house are 50m apart? 
Trigonometry
At a point on the ground 125 ft from the base of a tower, the angle of elevation to the top of the tower has a degree measure of 38 degrees. How high is the tower 
trigonometry
the angle of elevation of the top of the tower from the foot of a flagpole is twice the angle of elevation of the top of the flagpole from the foot of the tower. at the point midway between the tower and the flagpole, the angles of … 
Angle of elevation
The angle of elevation of the top of a house from the bottom of a tower 160m high is 26 from the top of the tower the angle of elevation is 240degrees what is the height of the house if the tower and the house are 50m apart