Question

the lenght of a string between a kite and a point on the roof of building 10m high is 180m.if the string makes an angle with the level ground such that tan ø=4/3.how high is the kite from the ground

Answer 1

Hey there!

Find out your solution below!!

Refer to the attachment below for the figure!

• Let OA be "x"

• We have been given that :

☞ Let OB be the length of the String
which is 180m.

☞ Let BD be the the building whose height is 10m .

☞Tan Φ =4/3


Hence , Sin Φ = 4/5 ---------(1)

Now, SinΦ = OA/ OE

So now we have:

Sin Φ = x/ 180 --------(2)

Now by equating both (1) and (2) we get :


☞ 4/5 = x/180

By solving For x we get :

x = 144 m

So now height of the kite from the ground is 144+10 =154 m


If u have any sort of doubt then fell free to ask in the comment box!!

# Hope it helps!

Answer 2

Answer: 154m

Step-by-step explanation:

tanθ=

3

4

​

Hence

sinθ=

5

4

​

 and cosθ=

5

3

​

Hence the perpendicular height of the kite from the rooftop of the building is

=180sinθ

=180.

5

4

​

=36(4)=144m

Hence the height of the kite from the ground will be

= Height of the building + height of the kite from the rooftop of the building.

=144+10

=154 m