The angle of depression from a lifeguard in her chair to a person swimming in a pool is 38 degrees. If the height of the chair is 12 feet tall, find the distance from the base of the lifeguard's chair to the swimmer.

15.36 feet

Step-by-step explanation:

We solve the above question using Trigonometric function of Tangent

Tan θ = Opposite /Adjacent

From the question

θ = 38°

Opposite = the height of the chair = 12 feet tall

Adjacent = the distance from the base of the lifeguard's chair to the swimmer = x

Hence:

tan 38° = 12/x

Cross Multiply

tan 38° × x = 12

x = 12/tan 38°

x = 15.359299586

x ≈ 15.36 feet

Hence, the distance from the base of the lifeguard's chair to the swimmer is 15.36 feet

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497