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a kite with a string of 150 meters makes an angle of elevation with the ground of 60°. How high is the kite above the ground to the nearest meter?

a. 75m
b. 100m
C. 120m
D. 130m

pa help ​


Sagot :

Answer:

a kite with a string of 150 meters makes an angle of elevation with the ground of 60°. How high is the kite above the ground to the nearest meter?

a. 75m

b. 100m

C. 120m

D. 130m

Step-by-step explanation:

Let h be the of height kite.

As we know that,

sinθ=

Hypotenuse

Perpendicular

Now, in △ABP

sin60°=

AP

AB

2

3

=

150

h

⇒h=

2

3

×150=75

3

m

Hence the height of the kite is 75

3

m.