Abird watcher is standing 50 feet from the base of a large tree. the surveyor measures the angle of elevation to a bird on top of the tree as 71.5. how y’all is the tree?

149 feet

Step-by-step explanation:

To find this answer, you will use the tangent ratio, tan=opp/adj.

I have a diagram at the end of the problem of what this angle would look like if you want some visuals.

First, you will plug in your given information into the tan ratio.

tan 71.5=x/50

Now, since x is the height of the tree, you need to get x alone. To do that, multiply 50 by both sides.

tan 71.5*50=x

Using your scientific calculator, press the tan sine and enter your tan measurement.

tan 71.5=2.988684963

Now put your new information into the formula and solve.

2.988684963*50=149.4342481

The tree is around 149 feet.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4