Jessica wants to make a ramp using a board so that she can ride her bike onto the front porch. the ramp must reach from the ground to the floor of the porch, which is 2 1/2

ft above the ground. jessica has decided that the ramp cannot have an incline of more than 35°.

what length board should jessica buy if she uses the maximum angle of incline?

enter your answer in the box. round only your final answer to the nearest tenth.

Length of board should Jessica buy is 4.4 feets.

Step-by-step explanation:

Height of the ramp =

Distance of the porch from the ground = x

Inclination of the ramp,θ = 35°

In triangle ABC,

AB =

AC = x

θ = 35°

According trigonometric ratios:

Length of board should Jessica buy is 4.4 feets.

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.