Atree 10 meters high casts a 17.3 meter shadow. find the angle of elevation of the sun.

30.03 degrees

Step-by-step explanation:

You have labeled this diagram correctly.

The trig function that links the side opposite the angle x   and   the length of the shadow is the tangent function.

Here, tan x = (opposite side) / (adjacent side) = (10 m) / (17.3 m), or 0.578.

Starting from tan x = 0.578, use the inverse tangent function to find the angle, first in radians and then in degrees:

arctan 0.578 = 0.524 radians

Converting this to degrees yields 30.03 degrees.    This is the angle of elevation of the sun from the horizontal, from the point where the observer is standing.

answer: d. $20

step-by-step explanation:

just took the test

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4