An airplane is flying in still air with an airspeed of 475 miles per hour. The plane is climbing at an angle of 19°, Find the rate at which the plane is gaining altitude. (Round your answer to four decimal places.) mi/hr

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: Assuming that a 330-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Solution: The objective is to determine how far from the base of the tree am I.

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: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A: Given the radius of a sphere changes increases at the rate of 3 m/sec. To find the rate at which…

Q: A plane flying with a constant speed of 300 km/h passesover a ground radar station at an altitude of…

A:

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

A:

Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A:

Q: 4. What is the tangent ratio of angle x? M X 15 ft 17 ft y N 8 ft O

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: 3. A ladder 14 ft long is leaning against a fence 8 ft high, with the upper end projecting over the…

A: Find the changing rate of anlge

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

A: Given- Diameter of circle is 10 m Central angle is π4 radians. To find the length of the arc of a…

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: Assume the smallest possible measured relief displacement on a vertical photo is 0.5 mm Is it…

A: H=900m h2=1.2m size of photograph= 23 cm relief displacement=d min=0.5mm

Q: A snow tubing hill is 400 ft long and has a 75-ft vertical drop. Find the average angle that the…

A: Given : A snow tubing hill is 400 ft long and has a 75 ft vertical drop. To find : Find the average…

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: 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: A fish is reeled in at a rate of 1 foot per second from a bridge 15 ft. above the water. At what…

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: 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: The radius of a sphere increases at a rate of 2m/sec. Find the rate at which the surface area…

A: In sphere Rate of radius= 2m/s Find the rate of change in surface area?

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

A: Solution

Q: A ladder 10ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Let x be the distance between the base of the wall and the bottom of the ladder. And let θ be the…

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

A:

Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

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: Find the length of the arc of a circle of diameter 6 meters subtended by a central angle of 3π/4…

A: Given data: The diameter of a circle is 6 m. The angle  subtended by a central angle is 3π/4…

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: A ladder measuring 2.21 m in length is leaning against a wall. If the angle the ladder makes with…

A:

Q: The sine of an obtuse angle is 0.53. Calculate the tangent of this angle to 4 decimal places.

A: Let the angle is ∅

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: Assuming that a 340-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Suppose that the person height is negligible. Since it is a right angle triangle we can apply SOH ,…

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

A:

Q: Two sides of a triangle are 4 m and 5 m in length and theangle between them is increasing at a rate…

A:

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: A parabolic arc over a tunnel for a road through a mountain is 27 ft high. The width of the arc 12…

A: Let w be the width of arc that is ti be determined . Points on the parabolic arc Will be (28,12) and…

Q: Solve for the missing information, given the AB is a tangent line to circle C. 3 cm 45° В AD =…

A: To find: The length of AD. Given: The values are CD=3 cm. Formula used: trigonometric ratio: sin…

Q: What is the tangent ratio of angle y? M X 197 O O O O tan = tan z = tan = tan = 10/00 17 15 15 ft 17…

A:

Q: AB is tangent to circle C at B, AB =15 centimeters and the redius of the circle is 8 centimeters.…

A: Tangent line to a circle is a line that touches the circle at exactly one point.

Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A:

Q: a rocket ship is climbing at the rate of 610 ft/sec when it is at 4600 ft it is tracked by an…

A: A degree, usually denoted by °, is a measurement of a plane angle in which one full rotation is 360…

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.