2 1+
What is the x-coordinate of the point that divides the
directed line segment from 3 to k into a ratio of 2:5?
]
X
m+ n(x2 – xi) + xy
-9-8-7-6-5-4-3-2-11 1 2 3 4 5 6 7 8 9 10 11 x
-2-
J(-6,-2)
-3
O-2
O 2
K(8-9)
-8
-9
-10
-11
-127
-13

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

hreryryrranswer:

step-by-step explanation:

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