SOLUTION: Good day, can anyone help me with this problem? Angle of elevation (traffic) A person driving in a sedan is driving too close to the back of an 18 wheeler on an interstate high

Algebra.Com
Question 981906: Good day, can anyone help me with this problem?
Angle of elevation (traffic)
A person driving in a sedan is driving too close to the back of an 18 wheeler on an interstate highway. He decides to back off until he can see the entire truck (to the top). If the height of the trailer is 15 feet and the sedan driver’s angle of elevation (to the top of the trailer from the horizontal line with the bottom of the trailer) is roughly 70°. How far is he sitting from the end of the trailer?
Thank you !

Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
you have a right triangle, let d be the distance from the truck, h is height of truck, then
tan(70) = h / d
d = h / tan(70)
d = 15 / 2.747477419
d = 5.459553514
he is sitting 5.5 feet from the end of the trailer

RELATED QUESTIONS

Good day! Can you please help me with this problem? Thank you! In triangle ABC, Angle (answered by shweta)
Good day! Can you help me solve this problem? A building is 16 meters from a... (answered by josgarithmetic)
Can someone help me on this problem? Driving down a mountain, Tom finds that he has... (answered by funmath)
Can someone please help me with this !!! In which quadrant(s) are there no solutions for (answered by checkley75)
Good day! Can you help me with this problem? Express the following in terms of its... (answered by macston)
Good day! Can you help me with this problem? Find the volume of a cone formed from a... (answered by Alan3354)
The difference between 4 times a number and 2, subtracted from 2 less than that number.... (answered by ankor@dixie-net.com)
Please help me with this problem: It costs $28.95 per day plus $0.15 per mile to rent (answered by Fombitz,gonzo)
Good day! Can you help me with this problem? Express the following in terms of its... (answered by rothauserc)