Asked by Ande2
A man 1.5m tall, standing on top of a mountain 298.5m high, observes the angles of depression of two flying boats D and C to be 28 degrees and 34 degrees respectively. Calculate the distance between the boats, correct to 1 decimal place.
Answers
Answered by
Reiny
Hint:
My sketch has two right-angled triangles with the same height
Think parallel lines and "transversals"
Can you find the bases of these two triangles?
My sketch has two right-angled triangles with the same height
Think parallel lines and "transversals"
Can you find the bases of these two triangles?
Answered by
henry2,
Locate point A at base of mountain,
Tan34 = (h1+h2)/AC = (298.5+1.5)/AC,
AC*Tan34 = 300,
AC = 445 m. = Distance of boat C from base of mountain.
Tan28 = 300/AD,
AD = 564 m. = Distance of boat D from base of mountain.
AC + CD = AD,
445 + CD = 564,
CD = Distance between the boats.
Tan34 = (h1+h2)/AC = (298.5+1.5)/AC,
AC*Tan34 = 300,
AC = 445 m. = Distance of boat C from base of mountain.
Tan28 = 300/AD,
AD = 564 m. = Distance of boat D from base of mountain.
AC + CD = AD,
445 + CD = 564,
CD = Distance between the boats.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.