Question

Pippa is holding the end of her kite string 1.4 m above the ground. The kite string rises at 63° angle of elevation. Pippa has let out all 75 m of the string.
To the nearest tenth of a meter, how high above the ground is the kite?



A) 34.0 m
B) 35.4 m
C) 66.8m
D) 68.2 m

Answer 1

The figure shows the exact form of the given information.

We are given angle of elevation 63° and hypotenuse ( length of kite) is 75m.

Now we are also given that Pippa is holding the kite 1.4m above the ground.

So referring to the figure, height of kite from ground = 1.4m + x

We have to find x now.

$sin theta = \frac{perpendicular}{hypotenuse}$

$sin 63 = \frac{x}{75}$

0.891 =x/75

x=0.891 * 75 = 66.825

Answer : height of kite is 1.4 + 66.825 that is 68.225 m.

Answer 2

68.2, is this correct?