A wooden structure has the shape of a right triangle with a base of 12 feet and a height of 8 feet. It is supported by a wire stretched from point C to the ground at point D such that the support wire is perpendicular to the top of the structure, AC.

(1) how far away from point b should point d be placed? give an exact answer in feet and inches.

(2) to the nearest tenth of a foot what is the length of the support wire?

(1)5 ft 4 in

(2)9.6 ft

Step-by-step explanation:

We are given that

AB=12 ft

BC=8 ft

All right triangles are similar

(1)Let BD=x

Triangle ABC and DBC are similar

When two triangle are similar then , the ratio of their corresponding sides are equal.

=5 ft 4in

1 feet=12 inches

(2)In triangle DBC

Using Pythagoras theorem  

Hence, the length of support wire=9.6 feet

step-by-step explanation:   divide the numerator by the denominator to get the decimal

it would still be 193

if divide by 100 then 1.93

i am not sure