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Step-by-step explanation:

step 1

Find the measure of angle ABC using the function cosine

we know that

The function cosine of angle ABC is equal to divide the adjacent side to angle ABC by the hypotenuse of the right triangle

cos(∠ABC)=BC/AB

substitute

cos(∠ABC)=6.3/9.8

step 2

Find the measure of angle ABC using the function sine

we know that

The function sine of angle ABC is equal to divide the opposite side to angle ABC by the hypotenuse of the right triangle

sin(∠ABC)=AC/AB

substitute

sin(∠ABC)=7.5/9.8

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,

1. 34

2. 268

3. x=14.4

step-by-step explanation: