Hey statue is mounted on top of a 25 foot hill from the base of the hill to where you are standing is 53 feet in the statue subtends an angle of 12.4 to where you are standing find the height of the statue

The height of the statue is 217 m

Step-by-step explanation:

The hill is 25 ft above the ground,

you are standing 53 ft from the base of the hill,

angle of depression from the top of the angle to where you stand is 12.4°

Let us designate the total height from the base of the hill to the top of the statue as y.

This problem will then form a right angle triangle problem, with the base as the opposite side to the angle, and the total height of the statue and the hill as the adjacent side.

given the opposite as 53 ft,

and the adjacent as y,

and angle ∅ = 12.4°

we use tan ∅ = opp/adj

tan 12.4 = 53/y

0.219 = 53/y

y = 53/0.219 = 242 m

But this height y from base of the hill to the top of the statue is equal to the height of the hill from the base which is 25 ft, and the height of the statue from the top of the hill. This means

y = 242 = 25 + n

where n is the height of the statue.

242 = 25 + n

n = 242 - 25 = 217 m

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.

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew