The telephone pole is feet tall (round to the nearest whole number)

14 ft
85 ft
42 ft
33 ft

Step-by-step explanation:

Let

y-----> the height of the telephone pole

we know that

In the right triangle of the figure

The sine of angle of 67 degrees is equal to divide the opposite side of angle of 67 degrees by the hypotenuse

solve for y

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1