As shown below, an observer (o) is located 400 ft from a building (b). the observer notices a knife (k) flying at a 29 degrees angle of elevation from his line of sight. what equation and triganomic functiom can be used to solve for the height (h) of the knife? what is the height of the knite? you must show all work and calculations to receive full credit.

tangent  =opposite/adjacent

221.72 deg

Step-by-step explanation:As shown below, an observer (o) is located 400 ft from a building (b). The observer notices a knife (k) flying at a 29 degrees angle of elevation from his line of sight. What equation and triganomic functiom can be used to solve for the height (h) of the knife? What is the height of the knite? You must show all work and calculations to receive full credit.

from the statement, we can deduce that

the opposite is the height of the knife, 29 deg is the angle of elevation

the adjacent distance to the building is 400ft

You will use the tangent of angles

tan =opposite/adjacent

angle is =29deg

the adjacent of the angle is 400ft in this case

so =h/400

400

221.72 deg

tan 29° =

400 tan 29° = h

221.7 = h

221.7 ft

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

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