Question

Two points A and B are on the same side of a tower. They measure the angle of
elevation of the top of the tower as 30° and 60° respectively. If the height of the tower is
of elevation
80 m, find the distance between them.
bon the angle of elevation of the Sun is 45°, is found to​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer:

Let CD is the building A and B are two given point using horizontally on the same side of building.

In △DBC,

tan 60˚ = DC/CB

√3 = 10/y …..(1)

In △DCA, tan 30˚ = DC/CA

1/√3 = 10/(x + y) ….(2)

From (1), put y = 10/√3 in (2), we get

1/√3 = 10/(x + 10/√3)

1/√3 = 10√3/(√3x + 10)

30 = √3x + 10

x = 20/√3

x = 11.55 m

Hence, distance between two points A and B is 11.55 m.