Question

Q3. From the top a building, 75 m tall the angles of depression of two points on the ground on the same side of it, are x0 and y0. If the tan of the angles x0 & y0 are 35 &12 respectively, find the distance between the two points.

Answer 1

Answer:

Let OX be the horizontal ground and let AB be the tower. Let C and D the given points of observation of hte ground. Then we have:

∠KAC=α=∠ACB and ∠KAD=β=∠ADB

Where α>β

AB be the required height of the tower such that AB=h metres

Let CD=p metres and BC=x metres

BD=CD+BC=(p+x)m

ABD is right △ at B:

BD

AB

m=75(1.732)m=129.9m

Step-by-step explanation:

This may help you