1. Kelly is playing with her drone, which she got from Santa last Christmas. When she flies her
drone, it reaches a certain height and then falls straight down to the ground. Kelly noticed that
this always happens when she looks up at a 70° angle of elevation to see the drone. When she
goes to retrieve the drone, it is always 250 ft away from where Kelly was standing when it fell
from the sky. What was the maximum height of the drone?

686.86 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side

Where α is the angle of elevation of Kelly's view, the opposite side (x) is the maximum height of the  drone, and the adjacent side is the horizontal distance between Kelly and the drone when it hits the ground.

Replacing with the values given:  

Tan 70 = x/ 250  

Solving for x  

tan70 (250)=x

686.86 ft = x

Feel free to ask for more if needed or if you did not understand something.  

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!