Awoman measures the angle of elevation of a mountaintop as 12.0°. after walking 1.00 km closer to the mountain on level ground, she fi nds the angle to be 14.0°. (a) draw a picture of the problem, neglecting the height of the woman's eyes above the ground. hint: use two triangles. (b) select variable names for the mountain height (suggestion: y) and the woman’s original distance from the mountain (suggestion: x) and label the picture. (c) using the labeled picture and the tangent function, write two trigonometric equations relating the two selected variables. (d) find the height y of the mountain by fi rst solving one equation for x and substituting the result into the other equation.

The height of the mountain is 1.33 km.

Explanation:

a and b) See the attached figure for a description of the situation

c) For right triangles, this trigonometric rule applies:

tangent angle = opposite side / adjacent side

Then, in our problem:

tg 12º = y / x

tg 14º = y / (x-1)

d) using the first equation:

tg 12º = y / x

x * tg 12º = y

Replacing "y" for "x * tg 12º" in the second equation and solving for x:

tg 14º = (x * tg 12º) / (x-1)=

tg 14º * (x-1) = tg 12º * x

0.25 x -0.25 = 0.21 x

0.25 x - 0.21 x = 0.25

0.04 x = 0.25

x = 6.25

Then:

y = tg 12º * x

y = 6.25 * tg 12º = 1.33 km

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.

as we probably am aware that our atmosphere or air have various levels, each level has different gasses, and each gas has another porousness. at the point when the light originates from lower porousness to higher penetrability, it alters its course. with the goal that implies that when the light originates from the moon to the earth, it alters it's course a lot more occasions. it essentially implies that the state of the light piece of the moon is changed on the earth.

not copied too! hope this !

joke:

h o h o hope you have a merry christmas!