a forest ranger spots a fire on a 28 foot tower,the angle of depression from the tower to the fire is 11 degrees to the nearest foot how far is the fire from the base of the tower show the steps you use to find the solution
running short on time to turn this answer in plz help
HippoCampus Algebra & Geometry
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Now, since the angle of depression is 11°, we can know the angle inside the triangle is 79°, since 11+79=90 (Forms right angle).
Now, since a right angle is 90°, and since all angles in a triangle sums up to 180° (Triangle Angle Sum Theorem), the angle of elevation is 11°.
Now we can use the Law of Sines to find the answer ("x" is the side we are looking for).
x/sin(90) = 28/ sin(11)
x = (28/sin(11))sin(90)
And, using a calculator:
x= 147 (rounded to the nearest foot)
So the distance between the tower and the fire is 147 feet. Hope this helps! |dw:1368638375563:dw|
BTW: Sorry if the drawing is a little confusing :)