An airplane is flying in still air with an airspeed of 450 miles per hour. The plane is climbing at an angle of 15°. Find the rate at which the plane is gaining altitude. (Round your answer to four decimal places.)

Q: C. A man, of height 1.75m, stands on top of a building of height 52m and looks at a car at an angle…

A:

Q: A 13-foot ladder is leaning on a tree. The bottom of the ladder on on the ground at a distance of 7…

A: A 13-foot ladder is leaning on a tree.The bottom of the ladder on the ground at a distance of 7 feet…

Q: S Kirk visits Yellowstone ground, and the geyser ca irk stands 200 feet from t angle of elevation to…

A: Draw the diagram to understand the conditions given in the question.

Q: Assuming that a 350-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: We will use trigonometric ratios to find the answer

Q: 20 cm 18 cm

A: This is right triangle so use the trigonometric ratio specially tangent.

Q: A wheel with a diameter of 31 meters is moving forward at 112.1 meters per second. How fast is the…

A:

Q: 6. Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree. 35…

A:

Q: A kite 50ft above the ground moves horizontally at a speed of 6ft/s. At what rate is the angle…

A: First I have drawn the diagram of the given situation and then using them solved the problem and…

Q: Find the approximate value of the smaller angle formed between the liney = of the x-axis. Give the…

A: here we have to find the smaller angle formed between the line y=712x and the positive pat of the…

Q: Find the length of the arc of a circle of diameter 10meters subtended by a central angle of π/4…

A: Given:  Diameter =10meters  Central angle = π4 radians To find- length of arc of a circle.

Q: True or False The angular speed v of an object traveling ona circle of radius r is the angle u…

A: Given: The angular speed v of an object traveling on a circle of radius r is the angle u (measured…

Q: A 12 -foot ladder is leaning on a tree. The bottom of the ladder on on the ground at a distance of 3…

A:

Q: A wheel of radius 14 inches is rotating 12°/sec. What is the linear speed in in/sec and the angular…

A:

Q: What angle does the tangent to the curve y(x) = sin? (x/9) + 15sin(x/9) at x = 9n make with the…

A: The tangent to a curve is given by dydx. we are given that y(x)=sin2(x9)+15 sin(x9) then dydx=29…

Q: An object is launched at an angle of 50 degrees from the horizon at an initial velocity of 500 ft…

A: Given data: Formula used :

Q: (c) Find the rate at which the angle between the ladder and thewall of the house is changing when…

A: Let θ = angle between top of ladder and wall   Let x = distance from base of ladder to wall   Base…

Q: Find the Tangent ratio for angle F in the triangle below. G 5 km F tanF = 2 km 13 km H.

A:

Q: Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree. 40 cm…

A: To find the measure of x0.

Q: A helicopter is to fly directly from a helipad at the origin in the directionof the point (1, 1, 1)…

A: Given that: A helicopter is to fly directly from a helipad at the origin in the direction of the…

Q: Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of π/3…

A: Given that the diameter of circle is d=8 meters. Given arc is subtended by a central angle θ=π3…

Q: A kite 50ft above the ground moves horizontally at a speed of 4ft/s. At what rate is the angle…

A:

Q: Find the length s of the arc that subtends a central angle of measure 40 degrees in a circle of…

A:

Q: A wheel of radius 14 inches is rotating 0.5 rad/s. What is the linear speed ?,v, the angular speed…

A: A wheel of radius 14 inches is rotating 0.5 rad/s. What is the linear speed v, the angular speed in…

Q: Find the length of the arc of the circle of diameter 8 meters subtended by a central angle of pi/5…

A:

Q: Find the length of an arc intercepted by a central angle 0 in a circle of radius r. Round your…

A: Given radiusr=16.12 ft and central angleθ=π11 radians

Q: A 16-foot ladder is leaning on a tree. The bottom of the ladder on on the ground at a distance of 4…

A:

Q: Find the length of an arc intercepted by a central angle 0 in a circle of radius r. Round your…

A: Solution

Q: 1. Andrew is trying to land a plane, the plane descends at a steady rate. When it is 22 ground miles…

A: The height of the plane is AC= 2.2 miles. The distance of the plane from the airport is AB= 22…

Q: Find cose, where 0 is the angle shown. Give an exact value, not a decimal approximation.

A:

Q: A satellite (S) in orbit around the Earth is sending two signals that are tangent to Earth at points…

A: Given that , mACB⏜=208° mAB⏜=152° ∠S=?

Q: 9. At what time during the day would the minute hand on a clock represent the terminal arm of an…

A:

Q: Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree. 21 cm…

A:

Q: A steep mountain is inclined 74° to the horizontal and rises h = 3900 ft above the surrounding…

A: Given that, the height of the mountain us h=3900 ft, distance d from the base of the mountain is…

Q: A pendulum of length 100.10 in., located at a point at sea level where the radius of the earth is R…

A:

Q: An airplane climbs at an angle of 11 degrees at an average apees of 420 mph. How long will it take…

A:

Q: Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree. to 17…

A: We use the Tangent Ratio To find Angle x.

Q: A fish is reeled in at a rate of 0.6 meter per second from a point 4 meters above the water (see…

A:

Q: From the top of a 237-ft lighthouse, the angle of depression to a ship in the ocean is 25°. How far…

A:

Q: 9) (SCT) Suppose a 40 ft tree casts a shadow of length 60 ft. What is the angle of elevation (with…

A:

Q: suppose the angry bird is shot from the slingshot with an initial velocity of 55 ft per sec, 11 feet…

A:

Q: The goal posts of a hockey net are 2 metres apart. If a player wants to score while standing at a…

A:

Q: be the angle between the top of the ladder and the wall and let x be the distance from the bottom of…

A:

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 6x - y = 3, Sx + y=…

A:

Q: Use OX. - Name a tangent. a. AB AC d. BD С. ВС

A:

Q: The sine of the acute angle between the plane n and the line /, where n: x- y+z= 2, and x-2 = y+1 -…

A:

Q: The radius of a sphere increases at a rate of 4m/sec. Find the rate at which the surface area…

A: Surface area of sphere is S= 4πr^2. And rate of change means derivatives.

Q: aA, man voalks along a Amls A searchliqht is located on the ground 25m from the path and is kept…

A: A man walks along a straight path at a speed of 4 m/s. A search light is located on the ground 25 m…

Q: What is the tangent ratio for zB? C B V5 A 1,

A: With respect to angle B, here, Altitude, a=2 Base, b=1 Hypotenuse, h=5

Q: A yo-yo which is 4 inches in diameter spins at a rate of 3600 revolutions per minute. How fast is…

A:

Q: An aerial photographer who photographs real estate properties has determined that the best photo is…

A:

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.