A ship starts at point P, travels 170 miles to point Q, adjusts its route according to the angle shown, and continues another 199 miles to point R. To the nearest mile, what is the distance from the starting position of the ship to its current position at point R? R 199 114° P 170

Q: From the top of a cliff 150 feet high, the angle of depression of ship A is 20° and that of ship B…

A:

Q: Sec. 2.4 Mrs. LaPorte wants to build a wheelchair ramp for the step up to her nephew's front door.…

A: Let x be the length of the base of the ramp in inches. According to the question, If θ is the angle…

Q: Find the reference angle for the angle 265°

A: Let θ=265°Since , 180°<265°<270°So , the angle lies in Quadrant IIIHence , the reference…

Q: A person is flying a kite on a windy day. Two observers, standing 30 ft apart, are viewing the kite…

A: It is given that A person is flying a kite on a windy day.  Two observers standing 30 ft apart, are…

Q: Determine with the information if there is one triangle, two triangles, or none. a=4, b=5, A=60°

A:

Q: How far apart are the two fires

A: We have to find out the distance between the two fires.

Q: A rocket ship is four miles above sea level when it begins to climb at a constant angle of 5° for…

A: Given, θ=5∘, B=65 suppose rocket ship height from initial point is h height from sea level =h+4

Q: Sketch the angle and write the sec and tan of the angle if the terminal side of the angle passes…

A: NOTE: Refresh your page if you can't see any equations. . the given point is so here we have

Q: Find the reference angle for the angle 553°

A: Reference angle is the acute angle between the terminal arm and x-axis. The reference angle is…

Q: A man who is located west of a radio station observes that his elevation angle is 45°. Walk 50 m to…

A: The figure

Q: Jason throws a Ping-Pong ball, which bounces off a wall at a 78° angle, hits the floor and bounces…

A: We will use Sine Rule for triangle

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.