The angle of depression from the top of a flag pole to a point on the ground is 30°. if the point on the ground is 75 feet from the base of the flag pole, how tall is the pole to the nearest foot? a) 38 feet b) 43 feet c) 53 feet d) 106 feet

B) 43 feet

Step-by-step explanation:

Let AB represents the height of pole and C represents the point on the ground ( shown in the below diagram ),

We need to find : Measure of AB.

Since, angle of depression from the top of a flag pole to a point on the ground is 30°,

By the alternative interior angle theorem,

m∠ACB = 30°,

∵ m∠ABC = 90°,

By the trigonometric ratio,

We have BC = 75 ft,

Hence, the pole would be 43 ft tall ( approx )

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct