Help please. Having some trouble with this question

The answer to your question is 55 ft

Step-by-step explanation:

Data

Person's height = 5 ft

Person's shadow = 10 ft

Tree's height = ?

Tree's shadow = 110 ft

- Use the Thales' theorem to solve this problem

 Person's height / Person's shadow = Tree's height / Tree's shadow

- Substitution

                     5 / 10 = x / 110

-Solve for x

                     x = 5 (110) / 10

-Simplification

                     x = 550 / 10

-Result

                     x = 55 ft

-Conclusion

The tree is 55 ft height

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.