a plane takes off at an angle of 30 degrees and reaches a height of 10 miles. what is the diagonal distance it has traveled from
take off to its current position
1 answer:
Answer:
20 miles
Step-by-step explanation:
We apply trigonometry and using the attached illustration, we know that sine of an angle is the ratio of opposite to hypotenuse. In this case, the hypotenuse is the diagonal in question.
Sin 30°=10/hypotenuse
Hypotenuse=10/sin30°=10/0.5=20 miles
Therefore, the plane has gone a diagonal distance equivalent to 20 miles from its take off position
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Step-by-step explanation:
Answer:
≈ 78.55 cm
Step-by-step explanation:
Using the ratio of arc (AB) to circumference (C) is equal to the ratio of angle subtended at centre by arc AB to 360°, that is
=
, that is
=
( cross- multiply )
110C = 8640 ( divide both sides by 110 )
C = ≈ 78.55 cm ( to 2 dec. places )