Answer:
Hector's kite is 61.84 feet from the ground.
Step-by-step explanation:
The angle of elevation of the kite is 42°15’30” when converted to decimals, it is 
≅ 
Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,
Sin θ = 
Sin = 
⇒ x = 86 x Sin
= 86 x 0.6725
= 57.835
x ≅ 57.84 feet
The height of Hector's kite from the ground = x + 4
= 57.84 + 4
= 61.84 feet
Answer:
x = 21
Step-by-step explanation:
Based on the inscribed angle theorem, we would have:
120° = 2(3x - 3)°
Solve for x
120 = 2*3x - 2*3
120 = 6x - 6
Add 6 to both sides
120 + 6 = 6x
126 = 6x
Divide both sides by 6
126/6 = x
21 = x
x = 21
Answer:
Step-by-step explanation:
1. Area => 7.5 x 2 = 15 m² (Choice B)
2. Area => 5 x 11 = 55 in² (Choice B)
3. Area = (12 x 18) * 0.5 = 108 cm² (Choice A)
4. Triangular Pyramid (Choice D)
6. Area of Rectangle => 12 x 9 = 108
Area of Triangle => 7x6 = 42
Sum of Area => 150
7. Surface Area => (4x4)x6 = 96 in² (Choice D)
8. Volume = 3x15x14 = 630 in³ (Choice D)
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