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The diagram below shows a right triangle that has side lengths of 4.38, 1.4 and 4.6 cm. One of the interior angles of the triangle measures 0 radians. 4.6 cm 1.4 cm 4.38 cm Compute the values of the following expressions. • sin(0) = Preview • cos(0) Preview tan(0) : Preview Problem 3: A shoreline observation post is located on a cliff such that the observer is 310 feet above sea level. When initially spotted, the angle of depression (the angle at which an observer needs to look down) from the observation post to an approaching ship was 4.8°. a) Draw a diagram of the situation and label each known and unknown quantity measure. b) How far out to sea was the ship when it was first spotted? c) After watching the ship for 47 seconds, the angel of depression was 5.9°. Assuming the ship was moving at a constant rate, estimate the ship's velocity. d) If the ship were to continue on its course at the same velocity, how much time from the second reading will elapse before the ship crashes into the shore?

The diagram below shows a right triangle that has side lengths of 4.38, 1.4 and 4.6 cm. One of the interior angles of the triangle measures 0 radians. 4.6 cm 1.4 cm 4.38 cm Compute the values of the following expressions. • sin(0) = Preview • cos(0) Preview tan(0) : Preview Problem 3: A shoreline observation post is located on a cliff such that the observer is 310 feet above sea level. When initially spotted, the angle of depression (the angle at which an observer needs to look down) from the observation post to an approaching ship was 4.8°. a) Draw a diagram of the situation and label each known and unknown quantity measure. b) How far out to sea was the ship when it was first spotted? c) After watching the ship for 47 seconds, the angel of depression was 5.9°. Assuming the ship was moving at a constant rate, estimate the ship's velocity. d) If the ship were to continue on its course at the same velocity, how much time from the second reading will elapse before the ship crashes into the shore?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 20E
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The diagram below shows a right triangle that has side lengths of 4.38, 1.4 and 4.6 cm. One of the interior angles of the triangle measures 0 radians. 4.6 cm 1.4 cm 4.38 cm Compute the values of the following expressions. • sin(0) = Preview • cos(0) Preview tan(0) : Preview
Transcribed Image Text:The diagram below shows a right triangle that has side lengths of 4.38, 1.4 and 4.6 cm. One of the interior angles of the triangle measures 0 radians. 4.6 cm 1.4 cm 4.38 cm Compute the values of the following expressions. • sin(0) = Preview • cos(0) Preview tan(0) : Preview
Problem 3: A shoreline observation post is located on a cliff such that the observer is 310 feet above sea level. When initially spotted, the angle of depression (the angle at which an observer needs to look down) from the observation post to an approaching ship was 4.8°. a) Draw a diagram of the situation and label each known and unknown quantity measure. b) How far out to sea was the ship when it was first spotted? c) After watching the ship for 47 seconds, the angel of depression was 5.9°. Assuming the ship was moving at a constant rate, estimate the ship's velocity. d) If the ship were to continue on its course at the same velocity, how much time from the second reading will elapse before the ship crashes into the shore?
Transcribed Image Text:Problem 3: A shoreline observation post is located on a cliff such that the observer is 310 feet above sea level. When initially spotted, the angle of depression (the angle at which an observer needs to look down) from the observation post to an approaching ship was 4.8°. a) Draw a diagram of the situation and label each known and unknown quantity measure. b) How far out to sea was the ship when it was first spotted? c) After watching the ship for 47 seconds, the angel of depression was 5.9°. Assuming the ship was moving at a constant rate, estimate the ship's velocity. d) If the ship were to continue on its course at the same velocity, how much time from the second reading will elapse before the ship crashes into the shore?
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