A bird (B) is spotted flying 5,000 feet from a tree (T). An observer (O) spots the bird (B) at a distance of 13,000 feet. What is the angle of depression from the bird (B) to the observer (O)? (4 points) Right triangle OTB is shown. Side TB labeled 5,000 and side BO is labeled 13,000. The angle B is labeled x degrees.

22.70°

44.62°

67.38°

68.96°

67.38

Step-by-step explanation:

we are given OTB and BT (is the shorter) of the two legs is the measure of 5,000 BO is the measure of 13,000 and is the hypotenuse and TO is the the longer leg of the right triangle so now that we know this we use inverse of cosine or cos⁻¹⁽⁾ and get 67.38

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.  

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true