Mathematics, 09.11.2019 15:31 jaylynomalley

You have a 20 foot ladder that you are using as you paint your ragetty house. you place the ladder so that it forms an angel of 30 degree with the top of the house. how high will the top of the ladder be above the ground?

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In this problem, we are given with the length of 20 ft ladder and the angle of elevation of 30 degrees. Angle of elevation is defined as the angle that is bound between the horizontal and the inclined object, in which in this case is the ladder. The height to the top of the ladder from the roof can be determined using the sin function.

sin Ф = opposite / hypotenuse
The hypotenuse is the length of the ladder in this case.
sin Ф = height / length
sin 30 = h / 20
0.5 = h/20
h =20*0.5
h = 10 ft

Hence, the height of the ladder from the top of the roof is 10 ft.

Answer from: Quest

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Answer from: Quest

"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).

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75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

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You have a 20 foot ladder that you are using as you paint your ragetty house. you place the ladder s...