Beverly is driving up a hill at an incline of 45 degrees. She will travel 13 miles to reach the top. What is the height of the hill?

The height of the hill is of 9.19 miles.

Step-by-step explanation:

Relations in a right triangle:

The sine of an angle is given by the measure of the opposite side divided by the hypotenuse.

The cosine of an angle is given by the measure of the adjacent side divided by the hypotenuse.

In this question:

Angle of 45º, and drives 13 miles. Due to the inclination, this represents the hypotenuse.

The height is the opposite side. So

We have that

The height of the hill is of 9.19 miles.

hi,

i'm 75% sure the answer is 1,1 to both lines.

have a great day

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.