The two palm trees are of equal heights and are standing opposite each other on either side of the river, which is 80 m wide. From

Question

The two palm trees are of equal heights and are standing opposite each other on either side of the river, which is 80 m wide. From a point O between them on the river the angles of elevation of the top of the trees are 60° and 30°, respectively. Find the height of the trees and the distances of the point O from the trees.

Josie · Answer

Let Palm tree be poles

tan600=80-xb

3=80-xb

b=3x-803 ….(i)

and,

tan300=31=xa

x=a3 …(ii)

b=3a-803

Or

3a-b=803

❥︎ Now it is given that the heights are equal.

Hence

a=b=h

Therefore

2h=803

h=203

=2(17.32)

=34.64m

Hence

x= h3

=20(3)=60m

Reply

Ariana · Answer

Given         measures         according     to     the         question      ʜᴇɪɢʜᴛ ᴏғ ᴛʜᴇ ᴛʀᴇᴇs = 34.64 m      ʜᴇɪɢʜᴛ ᴏғ ᴛʜᴇ ᴛʀᴇᴇs = 34.64 m      ᴅɪsᴛᴀɴᴄᴇ = 60     m.      Let Palm tree be poles  tan600=80-xb  3=80-xb  b=3x-803 ....(i)  and,  tan300=31=xa  x=a3 ...(ii)  b=3a-803  Or  3a-b=803  ❥︎ Now it is given that the heights are equal.  Hence  a=b=h  Therefore  2h=803  h=203  =2(17.32)  =34.64m  Hence  x= h3  =20(3)=60m

Kinsley

5.Form the smallest number by re-arranging all the digits of the following numbers:
(a) 688006
(b)7240489
(c)568782

2. Arrange the fractions in ascending order.
4 2 3 1
7′ 7′ 7′ 7

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