Chris measures the angle of elevation to the top of a building as 38°. when chris moves 100 ft closer to the base of the building, the angle of elevation to the top of the building is 47°. how tall is the building? neglect chris' height and round your answer to the nearest tenth of a foot.

Call x the distance on the ground to the base of the building for the first measurement of 38°. Call the height of the building is y.

The height is the opposite of the angle, for each angle, so related to the adjacent side through the tangent.

287.8 feet

the answer is 489

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form