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malfutka [58]
3 years ago
12

A plane rises from take off and flies at an angle 11° with the horizontal runway. When it has gained 750 feet find the distance

to the nearest foot the plane has flown
Mathematics
1 answer:
kogti [31]3 years ago
7 0

Answer:

D=3930.632298 \approx 3930.6miles

Step-by-step explanation:

From the question we are told that

Angle  \theta=11\textdegree

Height of plane h  =750feet

Generally the equation for the total distance flown is mathematically given by

D=\frac{h}{sin\theta}

D=\frac{750}{sin11}

Therefore total distance flown is

D=3930.632298 \approx 3930.6miles

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( I hope this was helpful) >;D

8 0
3 years ago
A guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.
frutty [35]

Answer:

The length of the wire is 76.19 m.

Step-by-step explanation:

It is given that a guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.

It means base of the right angled triangle is 40 m.

The wire makes an angle of 58deg 20min with the ground.

1 degree = 60 min

Using this conversion convert the given angle in degree.

58^{\circ}20'=58^{\circ}\frac{20}{60}^{\circ}=58\frac{1}{3}^{\circ}=\frac{175}{3}^{\circ}

In a right angled triangle

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\cos (\frac{175}{3}^{\circ})=\frac{40}{hypotenuse}

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hypotenuse=\frac{40}{0.525}

hypotenuse=76.190

Therefore the length of the wire is 76.19 m.

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