the strillgthe two kiles meet.ThePO from a point on the angle of eleva

1.	the strillgthe two kiles meet.ThePO from a point on the angle of elevation of the top Q of a vertical towere ground is 60° At a point Y 40mabove X the angle of elevation is 45 find the2.height of the tower PO and the distance xOthe elevation of its summit is
Answer» Answer: Step-by-step explanation: In triangle YRQ, tan 45 = QR/ YR This gives YR = x or XP = x [ As YR = XP ] ...... (1) Now, in triangle XPQ, tan 60 = PQ / PX V3 = x+40/x [Using(1)] This gives: x = 40 / V3 - 1 x = 20 (V3 + 1) = 54.64 m (By rationalisation) So, height of the tower, PQ = x + 40 = 54.64 + 40 = 94.64 m In triangle XPQ, sin 60 = PQ / XQ V3/2 = 94.64/ XQ This gives XQ = 109.3 m

the strillgthe two kiles meet.ThePO from a point on the angle of elevation of the top Q of a vertical towere ground is 60° At a point Y 40mabove X the angle of elevation is 45 find the2.height of the tower PO and the distance xOthe elevation of its summit is

Answer»

Answer:

Step-by-step explanation:

In triangle YRQ,

tan 45 = QR/ YR

This gives YR = x

or XP = x [ As YR = XP ] ...... (1)

Now, in triangle XPQ,

tan 60 = PQ / PX

V3 = x+40/x [Using(1)]

This gives:

x = 40 / V3 - 1

x = 20 (V3 + 1) = 54.64 m

(By rationalisation)

So, height of the tower, PQ = x + 40 = 54.64 + 40 = 94.64 m

In triangle XPQ,

sin 60 = PQ / XQ

V3/2 = 94.64/ XQ

This gives XQ = 109.3 m