menu
bartleby
search
close search
Hit Return to see all results

ADDITIONAL TOPICS IN TRIGONOMETRYМахSolving a word problem using the law of sinesEspañolMountain officials want to know the length of a new ski lift from A to C,as shown in the figure below. They measure angle DAC to be 35°. They then move1400 feet to point B and measure angle DBC to be 20°. What is the length of the new ski lift from A to C? Round your answer to the nearest tenth of a footfeet?35°20°AВ1400 ftAa

Question

see attachment

ADDITIONAL TOPICS IN TRIGONOMETRY
Мах
Solving a word problem using the law of sines
Español
Mountain officials want to know the length of a new ski lift from A to C,
as shown in the figure below. They measure angle DAC to be 35°. They then move
1400 feet to point B and measure angle DBC to be 20°. What is the length of the new ski lift from A to C? Round your answer to the nearest tenth of a foot
feet
?
35°
20°
A
В
1400 ft
Aa
help_outline

Image Transcriptionclose

ADDITIONAL TOPICS IN TRIGONOMETRY Мах Solving a word problem using the law of sines Español Mountain officials want to know the length of a new ski lift from A to C, as shown in the figure below. They measure angle DAC to be 35°. They then move 1400 feet to point B and measure angle DBC to be 20°. What is the length of the new ski lift from A to C? Round your answer to the nearest tenth of a foot feet ? 35° 20° A В 1400 ft Aa

fullscreen
check_circleAnswer
Step 1

 the value of AC=?

we have to find the value ofAC.
given that DCAD=35degree ĐCBD-20degree
and AB 1400ft.
help_outline

Image Transcriptionclose

we have to find the value ofAC. given that DCAD=35degree ĐCBD-20degree and AB 1400ft.

fullscreen
Step 2

it is the base what we did find. fo...

let the AD-xft
consider the right angle triangle CBD, tan20=
1400+x
CD
--36 or CD-.36(x+1400)
or
1400+x
CD
now consider the right angle triangle CAD,tan35=-
X
or CD-x.tan35=x(.7)
after solving above equations we get x 2100ft
help_outline

Image Transcriptionclose

let the AD-xft consider the right angle triangle CBD, tan20= 1400+x CD --36 or CD-.36(x+1400) or 1400+x CD now consider the right angle triangle CAD,tan35=- X or CD-x.tan35=x(.7) after solving above equations we get x 2100ft

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Trigonometry

Inverse Trigonometric Ratios

Related Trigonometry Q&A

Find answers to questions asked by student like you

Show more Q&A add

Sorry about that. What wasn’t helpful?