Answer:
Step-by-step explanation:
The string of a kite forms a right angle triangle with the ground. The length of the string represents the hypotenuse of the right angle triangle. The height of the kite represents the opposite side of the right angle triangle.
To determine the height of the kite, we would apply the sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse.
1) if the kite makes an angle of 25° with the ground, then the height, h would be
Sin 25 = h/50
h = 50Sin25 = 50 × 0.4226
h = 21.1 feet
2) if the kite makes an angle of 45° with the ground, then the height, h would be
Sin 45 = h/50
h = 50Sin45 = 50 × 0.7071
h = 35.4 feet
The approximate difference in the height of the kite is
35.4 - 21.1 = 14.3 feet
Answer:
36 students speak both english and french
14 students speak only english
Answer:
8+7x+4y
Step-by-step explanation:
15-7 is 8
12x-5x is 7
Put it all together to get 8+7x+4y
Of course A does because integers are positive and negative
Applying the sine ratio and law of sines, the correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft.
<h3>What is the Sine Ratio?</h3>
Sine ratio that can be used to determine the side length of a right triangle is, sin ∅ = opposite side/hypotenuse.
Find c using the law of sines:
C = 33°
A = 180 - 48 = 132 [linear pair]
B = 180 - 33 - 132 = 15° [triangle sum theorem]
b = 20 ft
c = ?
Using the law of sines, b/sin B = c/sin C, we have:
20/sin 15 = c/sin 33
(c)(sin 15) = (20)(sin 33)
c = (20 × sin 33)/sin 15
c ≈ 42.09
Use the sine ratio to find h:
∅ = 48°
Hypotenuse = c = 42.09
Opposite = h = ?
sin 48 = h/42.09
h = (sin 48)(42.09)
h ≈ 31.28
The correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft
Learn more about the sine ratio on:
brainly.com/question/2920412
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