Question

From a ship, the angle of elevation of a point, A, at the top of a cliff is 21°. After the ship has sailed 2,500 feet directly toward the foot of the cliff, the angle of elevation of ∠A is 47°. (Assume the cliff is perpendicular to the ground.) what is the height of the cliff

Answer 1

well hopefully the ship is perpendicular to the ocean... that way it can sail towards the cliff.

but start by drawing a diagram

Answer 2

so the next step is finding some missing angles...



x is supplementary to 47 and y can be found using angle sum of a triangle.

Answer 3

then you can use the rule of sines to find a

when you get a, you can use the sin ratio to find h.

hope it makes sense.

Answer 4

Uh he's solving it correctly you don't need me

Answer 5

quick question is h known? so that we can apply the sin formula?

Answer 6

no

Answer 7

@campbell_st i was asking you

Answer 8

h is not given in the information posted

Answer 9

yes i know i mean how are you planning to find it

Answer 10

wait a minute the 2500 is the measure of the whole ground no?

Answer 11

have you done the rule of sines and the rule of cosines...?

if you have you don't need to find x you marked

Answer 12

he does need either h or x to be known to find a

Answer 13

start by finding the 2 angles

x = and y =

Answer 14

what do you mean find a it's find h

Answer 15

just do the little things first... find x and y

Answer 16

they are angles so it should be straight forward

Answer 17

yes his way would work find angles x and y

Answer 18

i just don't know which diagram to follow anymore yours or his lol

Answer 19

angle x = 47 - 21, right

Answer 20

47 - 180

Answer 21

i messed up

Answer 22

nope... x is supplementary to 47 supplementary means you have 2 angles that add to 180

so 47 + x = 180

what is x..?