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a. 12.3 meters

b. 40.1 meters

c. 47 meters

d. 19.2 meters

option D is correct, i.e. 19.2 meters.

Step-by-step explanation:

Given r = √(h²+d²)

In the right triangle, we can use pythagoras theorem given as follows:-

r² = h² + d²

Given the length of drawbridge is r = 25 meters.

Given the height of drawbridge is h = 16 meters.

Distance, d = √(r²-h²)

d = √(25²-16²)

d = √(625-256)

d = √369

d = 3*√41

d = 3*6.403124237

d = 19.20937271 ≈ 19.2 meters.

Hence, option D is correct, i.e. 19.2 meters.

Choice D is correct answer.

Step-by-step explanation:

From question statement, we observe that

The length of drawbridge is given and the distance between a point P and roadway is given.We have to find distance d.

length = r =  25 m and height of drawbridge = 16 m

d = ?

The formula is given

r = √ h²+d²

Taking square ,we get

r² = h²+d²

Separating d² from above equation,we get

d² = r²-h²

Putting the values of r and h in above equation,we get

d² = (25)²-(16)²

d² = 625-256

d² = 369

Taking square root , we get

d = √369

d = 19.2 meters which is the answer.

yes

step-by-step explanation:

they have to be opposite and reciprocal of eachother.