Question

A boy is flying a kite. (5)
 The string is held 80 cm above the ground.
 The kite is on a string which is 8 m long.
 The string makes an angle of 30° with the horizontal.

Answer 1

Answer:

Total height of kite above ground = 4.8m

Step-by-step explanation:

Let h = height

Let d = length of string

Angle = 30 degrees

string = 8m

sin(θ) = $\frac{opp}{hyp}$

sin(30) = $\frac{h}{8m}$

[sin(30) = $\frac{1}{2}$]

$\frac{1}{2}$ = $\frac{h}{8}$

cross multiply

2h = 8

h = 4 meters

80 cm = 0.8 meters

Total height of kite = 4m + 0.8m = 4.8m