The angle of elevation to the top of a skyscraper is measured to be 2° from a point on the ground 1 mile from the building. how tall is the skyscraper?

See picture below for a geometric view.

Let x = height of building

We use basic trigonometry to find x.

The tangent function = opposite side of right triangle OVER adjacent side of right triangle.

tan(2°) = x/1

Solve for x.

After multiplying both sides by 1 (here 1 represents 1 mile), we get

tan(2°) = x.

We now use the calculator to find x.

In fact, you can take it from here. Use your calculator.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a