Abridge over a gorge is supported by an arch in the shape of a semi-ellipse. the length of the bridge is 400 ft. and the maximum height is 100 ft. draw a picture of the problem and label it with numeric values. find the height of the arch 50 ft. from the center. round to the nearest foot.

The height of the arch 50ft from the center is 97ft

Step-by-step explanation:

A bridge over a gorge is supported by an arch in the shape of a semi-ellipse

The length of the bridge is 400 ft. and the maximum height is 100 ft

so, a=200ft

b=100ft

(a)

we can draw picture

(b)

now, we can use equation of ellipse formula

now, we can plug

a=200

b=100

we can plug x=50 and find y

c

step-by-step explanation:

c

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5