Need asap! to find the height of a pole, a surveyor moves 120 feet away from the base of the pole and then, with a transit of 8 feet tall, measures the angle of elevation to the top of the pole to be 36°. to the nearest foot, what is the height of the pole? a. 87 feet b. 95 feet c. 71 feet d. 79 feet

95 feet

Step-by-step explanation:

Refer the attached figure.

A surveyor moves 120 feet away from the base of the pole i.e. BC = 120 feet.

BC= ED = 120 feet (refer the figure)

Height of transit i.e. DC = 8 feet

DC = EB = 8 feet (refer the figure)

The angle of elevation to the top of the pole to be 36° i.e. ∠ADE = 36°

Height of pole = AE+EB

To find AE use trigonometric ratio

Height of pole = AE+EB = 87.12+8 = 95.12 feet≈95 feet

Hence the height of pole is 95 feet

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.