Question

The angle of elevation of the top of an incomplete tower at a point 40 m from its base is 45°. If the elevation of the completed tower at the same point is 60°, then the height through which the tower has been raised is​

Answer 1

Answer:

. .... ............ ... .

Answer 2

Answer:

Please mark me at brainlist ...

Step-by-step explanation:

Let PA be the unfinished tower.

Let B be the point of observation i.e. 120 m away from the base of the tower.

Now, AB = 120m

Let, ∠ABP=45°

Let h m be the height by which the unfinished tower be raised such that its angle of elevation of the top from the same point becomes 60°.

Let CA = h &∠ABC=60°

In triangle ABP,

tan45°=

AB

PA

⇒1=

120

PA

⇒PA=120M

Now, in triangle ABC,

tan60°=

AB

CA

3

=

120

120+h

h+120=120

3

h=120(

3

−1)

h=120(1.732−1)→(as

3

=1.732)

h=120×0.732

h=87.84m