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A disabled jet can glide at an angle of 11 degrees with the horizontal. If it starts to glide an altitude of 12,000 ft, can it reach a landing strip that is 10miles away?

A disabled jet can glide at an angle of 11 degrees with the horizontal If it starts to glide an altitude of 12000 ft can it reach a landing strip that is 10mile class=

Respuesta :

Answer:

No, the jet can not reach a landing strip that is 10 miles away.

Step-by-step explanation:

It is given that a disabled jet can glide at an angle of 11 degrees with the horizontal. It starts to glide an altitude of 12,000 ft.

We know that,

1 ft = 0.000189394 miles

12000 ft = 2.2727273 miles

In a right angled triangle

[tex]\tan \theta=\frac{perpendicular}{base}[/tex]

[tex]\tan (11^{\circ})=\frac{2.2727273}{base}[/tex]

[tex]base=\frac{2.2727273}{\tan (11^{\circ})}[/tex]

[tex]base=\frac{2.2727273}{0.194380309138}[/tex]

[tex]base=11.6921683584[/tex]

[tex]base\approx 11.69[/tex]

Since 11.69>10, therefore jet can not reach a landing strip that is 10 miles away. The required answer is no.

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