Question

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?

Answer 1

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

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

`\tan \theta=(perpendicular)/(base)`

`\tan (11^(\circ))=(2.2727273)/(base)`

`base=(2.2727273)/(\tan (11^(\circ)))`

`base=(2.2727273)/(0.194380309138)`

`base=11.6921683584`

`base\approx 11.69`

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