All categories

2 years ago

You are standing 60 feet from the base of a 20-foot tall flagpole. What is 1

Mathematics

1 answer:

Rasek [7]2 years ago

5 0

Answer: The angle of elevation is 18.4 degrees (Approximately)

Step-by-step explanation: Please refer to the picture attached for more details.

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°

You might be interested in

I got most of them but I need help on those 3

Vadim26 [7]

Using Pythagoras:-

x^2 = 6^2 + (sqrt18)^2
= 36 + 18 = 54

x = sqrt54 = 3 sqrt6

3 0

2 years ago

What is the square root of 20

ahrayia [7]

Answer:

4.472135955

Step-by-step explanation:

I used a Calculator

$\sqrt20$

3 0

2 years ago

Read 2 more answers

As part of the underwriting process for insurance, each prospective policyholder is tested for high blood pressure. Let X repres

xxTIMURxx [149]

Answer:

0.053

Step-by-step explanation:

This is a geometric distribution problem.

I'm geometric distribution problem,

E(X) = 1/p

Where;

E(X) is expected value and p is probability of success

Thus;

1/p = 12.5

p = 1/12.5

p = 0.08

Now, to find the probability that the sixth person tested is the first one with high blood pressure, we will use the probability formula in geometric distribution which is;

P(X = k) = qⁿ•p

q = 1 - p

q = 1 - 0.08

q = 0.92

Thus;probability that the sixth person tested is the first one with high blood pressure will be expressed as;

P(X > 5) = (0.92^(5)) × 0.08

P(X > 5) = 0.053

3 0

2 years ago

L need help with this pls

Solnce55 [7]

Answer:

50°

Step-by-step explanation:

In a parallelogram opposite angles have the same measure. Angle ABC has then the same measure of angle ADC, which is 38°+12°=50°

7 0

1 year ago

Read 2 more answers

If the perpendicular bisector of one side of a triangle goes through the opposite vertex, then is the triangle ( sometimes, alwa

avanturin [10]

It is always isosceles because it can be proved as follows:

The perpendicular bisector dissects the triangle into two, and it is the common side. Then each side of the bisector is 90 degrees, and the bisected to two equal sides, so the two dissected triangles are congruent, hence the original triangle is isosceles.

7 0

2 years ago