Question

A boat is pulled in by means of a winch located on a dock 10 feet above the deck of the boat. Let θ be the angle of elevation from the
boat to the winch and let s be the length of
the rope from the winch to the boat.

Find θ when s = 26 ft.
Answer in units of rad

Answer 1

\[\theta =\sin ^{-1}\left(\frac{10}{s}\right)=\sin ^{-1}\left(\frac{10}{26}\right)=22.6{}^{\circ}=0.394791\text{ }\text{radians}\]

Answer 2

Thank you for the medal.

Answer 3

do you think you could help me with this: Two fire towers are 30 kilometers apart, tower
A being due west of tower B. A house fire
is spotted from the towers, and the bearings
from A and B are N 72◦ E and N 52◦ W, respectively.

Find the distance d of the fire from the line
segment AB.
Answer in units of km

Answer 4

I think I can solve it. Give me a few minutes.

Answer 5

i found the answer. what'd you get so i can see if im right?

Answer 6

Let x be the length of the horizontal leg of the triangle with the acute angle of 18 degrees.
Solve the following simultaneous equations for x and d:\[\left\{\frac{d}{x}=\tan (18 {}^{\circ}),\frac{d}{30-x}=\tan (38 {}^{\circ})\right\} \]\[d\text{ = }\frac{30 \text{ Tan}[18 {}^{\circ}] \text{ Tan}[38 {}^{\circ}]}{\text{Tan}[18 {}^{\circ}]+\text{Tan}[38 {}^{\circ}]}=6.88448 \text{ km} \]

Answer 7

okay i got that(:

Answer 8

thanks.

Answer 9

Thank you for the medal.

Answer 10

no problem, you think you can help me with one more problem?

Answer 11

yes

Answer 12

use the figure to express cosine in terms of a, b and θ

Answer 13

I'll give it a try now.

Answer 14

k

Answer 15

do you get it?

Answer 16

Not yet. Before I bail out, What is the solution argument of the cosine? For example, the cosine(B) = f(a,b,theta)? After working on this think I'm not sure what the question is about.

Answer 17

can't write in english, getting tired.