Aboat is spotted in the water with an angle of depression of 25° from the top of a lighthouse that is 89 feet tall. to the nearest foot, how far away is the boat from the base of the lighthouse?

42 feet.

See the attached picture:

41.5 feet

Step-by-step explanation:

We know that the boat makes an angle of depression of 25° from the top of a lighthouse and the height of the lighthouse is 89 feet.

We are to find the distance (x) between the boat and the base of the lighthouse and since this scenario makes a right-angled triangle, we will use tan to solve for x:

Therefore, the boat is 41.5 feet away from the base of the lighthouse.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt