The elevation of Davis is 15 meters above mean sea level (msl). Donner Summit at the Sierra crest is 2200 meters above msl. Blue Canyon, on Interstate 80, is 1430 meters above msl. Assume that precipitation increases linearly as elevation increases. a.If Davis receives 40 cm of precipitation annually and Donner Summit receives 160 cm of precipitation, predict the annual precipitation at Blue Canyon. Show your work. b.Are there limitations to the assumption that precipitation increases with elevation? Explain. c.The mean annual air temperature in Davis is 17 degrees C. Predict the mean annual air temperature at Blue Canyon and at Donner Summit Explain your reasoning.

Explanation: limitations exist such as the topography and geological characteristic of the ground below. This will affect precipation by the degree of wind hindrance they produce. Other factors like latitudinal and longitudinal coordinates of these places will affect their annual precipitation due to their relative position on earth, so its not just their elevation alone.

Answer c) blue canyon will have a mean annual temperature of about 7.57°c while Donner summit's will be at about 2.44°c

Explanation: according to meteorological data, temperature drops by 1°c for approximately every 150m rise in elevation. If Davis at 15m elevation has a mean annual temperature of 17°c, then for blue canyon, temperature drop -T will be;

-T = -(1430-15)/150 x 1°c = -9.43°c

Temperature at blue canyon = 17 + (-9.43) = 7.57°c

For Donner summit,

-T = -(2200-15)/150 x 1°c = -14.56°c

Temperature at blue canyon = 17 + (-14.56) = 2.44°c

AFOKE88 AFOKE88 · Answer 2 · 2022-02-24T13:04:04+01:00

A) The prediction of the annual precipitation at Blue Canyon is; 117.65 cm

B) The limitations to the assumption that precipitation increases with elevation are; The Land Nature and Prevailing Wind Nature

C) The the mean annual air temperature at Blue Canyon and at Donner Summit are respectively; 8°C and 3°C

How do you predict line of best fit?

Precipitation basically increases lineally with the increase in elevation. Thus, a linear equation can be developed with the data given from Davis and Donner summit at the sierra crest simply because precipitation depends on the elevation.

Now, let x represent elevation and y represent precipitation.

Thus, the coordinates are;

At x1 = 15 m , y1 = 40 cm

At x2 = 2200 m, y2 = 160 cm

Thus; Slope = (160 - 40)/(2200 - 15) = 0.055 cm/m

If we take a point (x,y) with the point (15,40), then we have;

(y - 40)/(x - 15) = 0.055

Solving this gives us;

y = 0.055x + 39

We are told that Precipitation at Blue canyon on interstate 80, where x = 1430 m. Thus;

y = (0.055 * 1430) + 39

y = 117.65 cm

B) The limitations to the assumption that precipitation increases with elevation are;

The land nature: When the land begins at a lower elevation then rises in elevation with distance, it means the air with moisture will leave most of the water vapor on the lower side and precipitation will decrease with height.

The prevailing wind nature: If the wind that blows over the raised landscape is dry, then it means that the raised landscape will receive little to no precipitation when compared to those of the lowlands where the prevailing wind is wet and as a result precipitation will not increase with height.

C) We are given that the mean annual air temperature in Davis is 17 degrees C.

If we assume that the average cooling which is always 6.5 °C for every 1000 m rise.

Now, Davis is at 17 °C at 15 m while Blue canyon is at 1430 m and Donner summit is at 2200 m.

Thus, temperature at Blue canyon will be;

T = 17 - (6.5/1000)*1430

T = 8°C

The temperature at Donner summit will be;

T = 17 - (6.5/1000)*2200

T = 3 °C

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