From the top floor of one building, the angle of elevation to a taller building is 20°, and the angle of depression to the bottom of the taller building is 35°.  If the two buildings are 12 meters apart, how tall is each building? Draw a labelled diagram, then solve.

in Trigonometry Answers by Level 1 User (360 points)

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

2 Answers

Let H be the height of the taller building and h be the height of the other building.

(H-h)/12=tan20, h/12=tan35, so H-h=12tan20, h=12tan35=8.40m approx.

H=12(tan20+tan35)=12.77m approx.

Height of tall building is BC=12.77m, height of smaller building is 8.40m (approx figures).

by Top Rated User (775k points)
Here is your solution,

https://ibb.co/pnJPcmD
by Level 4 User (6.2k points)

Related questions

1 answer
asked Jun 9 in Trigonometry Answers by okdoyn Level 1 User (360 points) | 39 views
1 answer
asked Jun 11 in Trigonometry Answers by okdoyn Level 1 User (360 points) | 37 views
1 answer
asked Jun 16 in Trigonometry Answers by okdoyn Level 1 User (360 points) | 33 views
1 answer
asked Jun 16 in Trigonometry Answers by okdoyn Level 1 User (360 points) | 39 views
1 answer
asked Jun 10 by okdoyn Level 1 User (360 points) | 67 views
1 answer
asked Jun 9 in Algebra 1 Answers by okdoyn Level 1 User (360 points) | 36 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
85,249 questions
90,482 answers
2,129 comments
80,263 users