Question

The length of a string between a balloon and a point on the ground is 68 m . If the string makes angle "A" with the level ground such that tan A = 15/8 . then the height of the balloon above the ground is ​

Answer 1

Answer:

Let the length of the String be AD

and AB be the Height

In △ABD

tanθ=

BD

AB

⇒

8

15

=

BD

AB

⇒AB=

8

15

BD..................(1)

Also applying Pythagoras Theorem

AB

2

+BD

2

=AD

2

⇒

64

225

BD

2

+BD

2

=90

2

⇒

64

289

BD

2

=8100

⇒

8

17

BD=90⇒BD=42.35

Now, from (1)

AB=

8

15

×42.35=79.

Answer 2

Answer:

79.41 m

Step-by-step explanation:

sinx =h/90

h=90*15/17 (sinx =15/17) by Pythagoras

so h= 79.41 m