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Mathematics

1 answer:

ra1l [238]3 years ago

7 0

Answer:

Step-by-step explanation:

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A plane at an altitude of 7000 ft is flying in the direction of an island . If an angle of depression is 21 ° from the plane to

Nonamiya [84]

The horizontal distance until the plan flies over the island is 2687.05 feet approximately.

<u>Solution:</u>

Given that, A plane at an altitude of 7000 ft is flying in the direction of an island

An angle of depression is 21 degree from the plane to the island

We have to find what is the horizontal distance until the plan flies over the island

The diagram is attached below

Assume as shown in the diagram , now we can use the right angle triangle property

$\tan (21)=\frac{\text {distance between plane and point above island}}{\text {height of plane}}$

$\tan (21)=\frac{\text {distance between plane and point above island}}{7000}$

$\text { Distance between plane and point above island }=7000 \times \tan (21)$

$=7000 \times 0.38386=2687.0482$

Hence, the distance between plane and point above island is 2687.05 feet approximately.

3 0

3 years ago

Please help me!

Tamiku [17]

Check the picture below.

notice the sides, now, on the second triangle, side 6 slants a bit more to fit in 13, on the third triangle, side 6 slants even further to fit 13 in, now, if 6 were to slant completely, it'll make a flat-line with side 5, and there will be a triangle no more.

but even if side 6 would stretch to a flat-line, 5+6 is just 11, whilst side 13 is longer than that, so no dice.