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Try agai...ADDITIONAL TOPICS IN TRIGONOMETRYMaxSolving a word problem using the law of sinesEspañolTry AgainMountain 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 foot.Сfeet?Aa35°20°DВA1400 ft

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Try agai...
ADDITIONAL TOPICS IN TRIGONOMETRY
Max
Solving a word problem using the law of sines
Español
Try Again
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.
С
feet
?
Aa
35°
20°
D
В
A
1400 ft
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Try agai... ADDITIONAL TOPICS IN TRIGONOMETRY Max Solving a word problem using the law of sines Español Try Again 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. С feet ? Aa 35° 20° D В A 1400 ft

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Step 1
ZDAC 35°
Consider the given information on triangles ABC and DAC as
ZDBC 200, and AB 1400 ft.
Note that, the angle measure in straight line is 180°
Hence, find the measure of the angle ZBAC as follows
ZDAC
BAC = 180°
35°ZBAC=180°
ZBAC =180° - 35°
ZBAC =145°
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ZDAC 35° Consider the given information on triangles ABC and DAC as ZDBC 200, and AB 1400 ft. Note that, the angle measure in straight line is 180° Hence, find the measure of the angle ZBAC as follows ZDAC BAC = 180° 35°ZBAC=180° ZBAC =180° - 35° ZBAC =145°

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Step 2
In triangle ABC, the angle ZACB is obtained as follows.
ВАС + ZABС + LACB - 180°
145° 20° ZĄCB=180°
ZACB 180° -165°
ZBAC = 15°
Note that, the Sine rule for a triangle ABC with side length a, b, and c is given by
b
а
sin C
sin A
sin B
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In triangle ABC, the angle ZACB is obtained as follows. ВАС + ZABС + LACB - 180° 145° 20° ZĄCB=180° ZACB 180° -165° ZBAC = 15° Note that, the Sine rule for a triangle ABC with side length a, b, and c is given by b а sin C sin A sin B

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