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




Hence, the distance between plane and point above island is 2687.05 feet approximately.
Answer: 12s+27j≤450
Step-by-step explanation:
From the question, we are informed that Jackie has a maximum of $450 to spend on shirts and jeans and that the shirts she wants to buy are $12 each, including tax while the jeans she wants to buy are $27 each, including tax.
The inequality that represents all possible combinations of s, the number of shirts, and j, pairs of jeans, Jackie can buy will be:
= 12s+27j≤450
There are infinitely many solutions.
Algebraically, we can eliminate
and try to solve for
:

Then



which is the equation of an ellipse.