Question

To approach the runway, a pilot of a small plane must begin a 10 descent starting from a height of 1983 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?

A. 2.2 mi
B. 0.4 mi
C. 11,419.6 mi
D. 2.1 mi

Answer 1

@hartnn @iambatman @wolf1728

Answer 2

do you know which angle of the triangle is a 10 degree angle ?

Answer 3

the bottom angle on the right side

Answer 4

correct!
and the opposite side to that angle is ?

Answer 5

1983 ft ?

Answer 6

yes
and what do u need to find ?
the adjacent side or hypotenuse ?

Answer 7

adjacent ?

Answer 8

correct!
so which ratio deals with
opposite side and adjacent side ?
look at the definitions

Answer 9

can you post them again i forgot lol

Answer 10

all ? :O

\(\huge \tan \theta =\dfrac{opposite ~side }{adjacent ~ side} =...?\)
:P

Answer 11

so whats tan 10 here = ...?

Answer 12

tan ?

Answer 13

say your adjacent side = x
opposite side = 1983

Answer 14

\(\huge \tan 10=\dfrac{opposite ~side }{adjacent ~ side} =\dfrac{1983}{x}\)
did you get that ^ ?

Answer 15

ok i wasn't sure if you were asking me if tan was the correct one or not but ok let me calculate it

Answer 16

tan 10 = .176

Answer 17

yes correct
so now can u find x ?

Answer 18

i got 11267.04545

Answer 19

i got that too :)

Answer 20

that isn't an option though so idk what is the answer

Answer 21

convert that into miles
know the conversion formula ?

Answer 22

1 mile = 5280 feet

Answer 23

Lol no ! Don't judge me lol

Answer 24

what's the formula ?

Answer 25

miles = feet / 5,280

Answer 26

i gave you the formula

1 mile = 5280 feet
x miles = 11267 feet
find x

Answer 27

ok i was just about to do that too !

Answer 28

D. 2.1 !

Answer 29

i got 2.1 too :)

Answer 30

lol thanks again you're a great helper ! I actually learn stuff when you help me

Answer 31

welcome ^_^