Question

from the roof and basement of house 20 m high,the angle of elevation of the top of a tower are 45 degree and 60 degree respectively .find the height of the tower​

Answer 1

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)