A 22 ft flagpole casts a 62 ft shadow. Calculate the angle of elevation to the sun

If the angle is x, then

tan x = 22/62

Review your basic trig functions. It will almost always help if you draw a diagram of the situation.

Again, my money is on Steve's answer.

a good rule to keep handy is this . . .

in right angle trigonometry the following will always be true for the two acute angles:

1) tan = opposite/adjacent

2) sin = opposite/hypotenuse

3) cos = adjacent/hypotenuse

seriously ... write them on your hand :)

To calculate the angle of elevation to the sun, we can use the concept of similar triangles. Let's consider the situation.

We have a 22 ft flagpole that casts a 62 ft shadow. Let's represent the height of the flagpole as 'h' and the length of the shadow as 's'.

In the given information, we have:
Height of the flagpole (h) = 22 ft
Length of the shadow (s) = 62 ft

Now, in the situation where the flagpole, its shadow, and the sun's rays form a right triangle, we can use trigonometry to find the angle of elevation to the sun.

The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side. In this case, we can use the tangent of the angle of elevation.

The tangent function is given as:
tan(angle) = Opposite/Adjacent

In our case, the opposite side is the height of the flagpole (h) and the adjacent side is the length of the shadow (s). So, the equation becomes:
tan(angle) = h/s

Substituting the given values:
tan(angle) = 22/62

To find the angle, we can take the inverse tangent (also known as arctan) of both sides of the equation:
angle = arctan(22/62)

Using a calculator, we can determine the value of the angle, which is approximately 19.4 degrees.

Therefore, the angle of elevation to the sun is approximately 19.4 degrees.

Tan x = 62ft / 22ft

Tan x = 2.818
X = tan^-1 2.818
X = 70.5
review your textbook to help you draw the diagram