The pole from top to bottom is 20 feet tall and is depicted as line FB. An observer is standing at a distance of 20 feet from the base of the pole, and that is depicted as line BA. The observer who is at point A looks up to the top of the flagpole at an angle of elevation shown as angle A.

Using angle A as the reference angle, line FB which is 20 feet would be the opposite (facing the reference angle), while line BA which is 60 feet would be the adjacent (that lies between the right angle and the reference angle).

Therefore, to calculate angle A;

Tan A = Opposite/Adjacent

Tan A = 20/60

Tan A = 1/3

Tan A = 0.3333

Checking with your calculator or table of values,

A = 18.4349°

Rounded to the nearest tenth,

A ≈ 18.4°

5 0

3 years ago

Points J and K lie in plane H. Plane H contains two points. Point J is to the lower left and point K is to the uppercase right.

xxMikexx [17]

Answer:

Step-by-step explanation:

There's a theorem that says "through 2 points it only cross one and only one line". Having this as our start point, we can guarantee that there's only one line that can be drawn through those points

4 0

3 years ago

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Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet.

Rudiy27

Answer:

9 ft

Step-by-step explanation:

Let's begin with the formula for the volume of a square pyramid. If s is the base length, then the area of the base is s^2. The volume of the pyramid is then V = (1/3)(base area)(height). We know the volume and the base length (s), and want to find the height. Solving V = (1/3)(base area)(height)

for height, we get:

3V = (base area)(height), or

---------------- = height

base area

Substituting 75 ft^3 for V and (5 ft)^2 for base area, we get:

3(75 ft^3) 9 ft

height = ------------------ = ----------------- = 9 ft

25 ft^2 1

3 0

3 years ago