Christopher bought a new watch at the store when they were having a 20% off sale. if the regular price of the watch was $48, how much did christopher pay with the discount

(1) C. 67.38°

(2) B. 10,824 feet

(3) A. 8604 feet.

Step-by-step explanation:

(1) We can see from our provided graph that bird, observer and tree form a right triangle. The side with length 5000 feet is adjacent and side with length 13,000 feet is hypotenuse of our given right triangle.

Since cosine relates the adjacent side and hypotenuse of a right triangle, so we can set an equation as:

Therefore,  the angle of depression from the bird (B) to the observer (O) is 67.38 degrees and option C is the correct choice.

(2) We can see from our provided graph that bird, plane and observer form a right triangle.  

The distance between point O and B will be also 6000 feet as lines OB and PT are parallel lines. The measure of angle BPO will be 29 degrees.

Since tangent relates the adjacent side and opposite sides of a right triangle, so we can set an equation as:

Therefore, the bird (B) is 10824 feet from the plane (P) and option B is the correct choice.

(3). We can see from our given diagram that the nest, bird and observer forms a right triangle. The side with length 15,000 ft is hypotenuse and side x is adjacent side for our given angle.

Since cosine relates the adjacent side and hypotenuse of a right triangle, so we can set an equation as:

Let us multiply both sides of our equation by 15,000.

Therefore, the bird is 8604 feet far from the nest and option A is the correct choice.