Bo is flying a kite, holding his hands a distance of 3.5 feet above the ground and
1 answer:
The height of the kite will be 53.32 feet above the ground.
<h3>What is trigonometry?</h3>The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
- The boy is flying a kite, holding his hands a distance of 3.5 feet above the ground and
- letting all the kite's strings play out. He measures the angle of elevation from his hand to the kite to be 29°. If the string from the kite to his hand is 110 feet long, what is the total vertical height?
The height of the kite above the ground will be calculated as:-
H = Sin(29) x 110
H = 53.32 feet
The hand of the boy is 3.5 above the ground so the total height H(t) of the kite above the ground will be:-
H(t) = 53.232 + 3.5
H(t) = 56.28 feet.
Therefore the height of the kite will be 53.32 feet above the ground.
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Answer:
Area of the given figure is 51.5 square units.
Step-by-step explanation:
Area of rectangle OCBH = Length × width
= 11 × 8
= 88 square units
Area of trapezoid OGEF =
=
=
= 18 units²
Area of trapezoid GCDE =
=
= 13.5 units²
Area of triangle AFH =
=
= 5 units²
Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)
= 88 - (18 + 13.5 + 5)
= 88 - 36.5
= 51.5 units²
Therefore, area of the given polygon is 51.5 units²
