Question

Bob is driving along a straight and level road straight toward a mountain. At some point on his trip he measures the angle of elevation to the top of the mountain and finds it to be 21°44'. Find the height of the mountain to the nearest foot if Bob is 13,428.7 feet from the center of the mountain at the base.

Answer 1

So did you get the answer..?

Answer 2

Not necessarily, i was just saying thanks for the equation, but how would i get the answer using Tan

Answer 3

Find the tan value of 21"44' from a tan table and multiply it with 13,428.7 to get the height...

Answer 4

oh, ill try that

Answer 5

5453 ft

5353 ft

53,534 ft

535,342 ft

Answer 6

it's one of these answers

Answer 7

Wait.. I'll find it.. :)

Answer 8

Alright

Answer 9

\[Tan\quad 21" 44'=\frac{x}{13,428.7}\]\[x=Tan\quad21" 44'*13,428.7\]\[x=0.3986*13,428.7\]Now multiply to get the answer..

Answer 10

5,222.421

Answer 11

it's none of the answer choices

Answer 12

No try again...

Answer 13

5,3552.679 ohh, thank you.

Answer 14

So when round off you get 5,353 ft.. :)

Answer 15

Yeah, i forgot the rounding part, lol

Answer 16

You have typed the answer wrongly..

Answer 17

You have typed an additional 5.. :D

Answer 18

5,352.679

Answer 19

lol! Yeah, you're right

Answer 20

Yeah tht's the correct answer...:D :)

Answer 21

So the problem is solved are u happy...:)

Answer 22

yeah, thanks

Answer 23

You are \[\huge\color{green}{WELCOME!!!}\]

Answer 24

thanks again!!!!

Answer 25

No problem.... :) I'll help u as I can
Don't worry....:D

Answer 26

XD

Answer 27

do you understand this?
From a boat on the lake, the angle of elevation to the top of a cliff is 27°57'. If the base of the cliff is 128 feet from the boat, how high is the cliff (to the nearest foot)?
A) 58 ft

B) 68 ft

C) 78 ft

D) 81 ft

Answer 28

Will it be the same process as the last question?

Answer 29

B) 68 ft