Mathematics, 18.01.2020 09:31, alosnomolina1122

Karla is riding vertically in a hot air balloon, directly over a point p on the ground. karla spots a parked car on the ground at an angle of depression of 30o. the balloon rises 50 meters. now the angle of depression to the car is 35 degrees. how far is the car from point p?

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answered: salmirakayy4579

407 m

Step-by-step explanation:

Refer the attached figure

Karla spots a parked car on the ground at an angle of depression of 30° i.e. ∠BDP = 30°

Now the balloon rises 50 meters.i.e. AB = 50 m

So, the angle of depression to the car is 35 degrees. i.e.∠ADP = 35°

Let DP be the distance of the car prom point P

Let BP be x

In ΔBDP

$Tan\theta = \frac{Perpendicular}{Base}$

$Tan 30^{\circ} = \frac{BP}{DP}$

$\frac{1}{\sqrt{3}}= \frac{x}{DP}$

$DP= \frac{x}{\frac{1}{\sqrt{3}}}$ --1

In ΔADP

$Tan\theta = \frac{Perpendicular}{Base}$

$Tan 35^{\circ} = \frac{AP}{DP}$

$0.70020= \frac{50+x}{DP}$

$DP= \frac{50+x}{0.70020}$ --2

So, equating 1 and 2

$\frac{50+x}{0.70020} = \frac{x}{\frac{1}{\sqrt{3}}}$

$\frac{50+x}{x} = \frac{0.70020}{\frac{1}{\sqrt{3}}}$

$\frac{50+x}{x} =1.21278$

50+x =1.21278x

50 =1.21278x-x

50 =0.21278x

$\frac{50}{0.21278}=x$

x=234.982

Substitute the value of x in 1

$DP= \frac{234.982}{\frac{1}{\sqrt{3}}}$

DP= 407.0007

Hence the car is at a distance of approximately 407 m from point P

Karla is riding vertically in a hot air balloon, directly over a point p on the ground. karla spots

answered: Guest

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i. when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them. .

answered: Guest

"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:

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

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Karla is riding vertically in a hot air balloon, directly over a point p on the ground. karla spots...