The angle of elevation from the top of a 95 foot tall building to a hot air balloon in the sky is 76degree. if the horizontal distance between the building and the hot air balloon is 354feet, find the height of the air balloon.

Step-by-step explanation:

See the image attached, where "x" represents the height in feet of the hot air balloon.

Notice that:

To find the lenght of the side BC of the right triangle, you need to use the following Trigonometric  Identity:

Observe that:

Substituting values and solving for "BC", you get:

Therefore "x" is:

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

if you was gonna solve for a, a is a   < -12