11. The person in a hot air ballon is looking down with an angle of depression 39° at their car 80 feet away ( Straight line distance).How high is the ballon? Draw the figure to answer the question. ( Round your final answer to 2 decimal places and decimals in intermediate steps to 4 decimal places)

Q: The cross section of a rivet has a top that is an arc of a circle. If the ends of the arc are 11 mm…

A:

Q: 2. A rocket is launching vertically upward from a point 2 miles east of an observer on the ground.…

A: Let's find speed of rocket.

Q: Find the length of an arc that subtends a central angle of 45° in a circle of radius 13 m. Round…

A: Given: radius=13m  central angle=45∘

Q: Find the coordinates of a point on a circle with radius 5 corresponding to an angle of 300∘300∘…

A:

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

A:

Q: The area of the sector of a circle with radius 8 inches formed by a central angle of 100° is inches.…

A:

Q: Suppose that you are headed toward a plateau 32.5 meters high. If the angle of elevation to the top…

A: Solve the following

Q: If the length of an arc of a circle of radius 7 is approximately 10.99 cm. What is the measure of…

A: Topic = Circle

Q: 5 is a point in Quadrant II lying on the unit circle. Suppose that x, 13 Find x. Write the exact…

A: As this point lies on unit circle. So put this point in equation of unit circle and get required…

Q: A circle has a radius of 40 centimeters. Find the length of the arc intercepted by a central angle…

A:

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

A: Given is the diameter of circle as 10 m, central angle is π4 radians. It is required to find the…

Q: In a circle of radius 4 inches, the length of the arc subtended by a central angle of 120° is…

A: Explained below

Q: 8. Suppose that a point on the ground is 50 feet from the base of a tree. If the angle of elevation…

A: Explanation and solutions is given below....

Q: A loading ramp is 21 meters long with a height of 6 meters. What is the angle of incline that the…

A: Explanation of the answer is as follows

Q: 24 Suppose that x, is a point in Quadrant IV lying on the unit circle. 25 - Find x. Write the exact…

A: Given that, The point x, -2425 is 4th quadrent and lies on the unit circle. So we have to find the…

Q: Suppose that you are headed toward a plateau 34 meters high. If the angle of elevation to the top of…

A:

Q: 4. A satellite that orbits above Earth's equator has a viewing angle of Earth formed y two tangents…

A: Solution:-

Q: A​ blimp, suspended in the air at a height of 600 ​feet, lies directly over a line from a sports…

A: The distance between the sports stadium is

Q: 5/7.1/// On a circle of radius 8 feet, give the degree measure of the angle that would subtend an…

A: Here we have to find the angle.

Q: Suppose that you are headed toward a plateau 51.8 meters high. If the angle of elevation to the top…

A:

Q: In a circle of a radius of 6 m, an arc is subtended by a central angle of 7π6 radians. The exact…

A: Given radius is 6metres. Central angle is 7π/6 = 210° Arc length = 2πr(©/360°)                    =…

Q: What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 2.0 m?

A:

Q: 7) What is the length of arc QR?

A: Here in the given figure, their will be a mid point between Q and S such that angle divided in 2…

Q: 3. A 6 foot ladder is to be placed against a wall at an angle of elevation of 65°. How far should…

A: length of ladder = 6 foot angle of elevation = 65 Form a triangle :

Q: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 82°.…

A:

Q: A straight 33-ft long ladder leans against a building so that the angle between the ground and the…

A:

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

A:

Q: Suppose that you are headed toward a plateau 22.8 meters high. If the angle of elevation to the top…

A:

Q: In order to safely land, the angle that a plane approaches the runway should be no more than 15°. A…

A: topic - application of trigonometry

Q: Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 105° (х, у)…

A: topic - coordinates of a point

Q: In a circle of radius 12 km, an arc is subtended by a central angle of radians. 5 The exact length…

A:

Q: A fish is reeled in at a rate of 4.4 feet per second from a point 10 feet above the water. At what…

A: Given problem is : A fish is reeled in at a rate of 4.4 feet per second from a point 10 feet above…

Q: Find the length of the arc on a circle of radius r intercepted by a central angle θ. (Round your…

A: Given:Radius=18 inchesCentral Angle=300 degreesArc of length:A=rθ

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: What is the altitude of an airplane if the angle of depression to an airport 17 miles away is 8° ?…

A:

Q: Recently, about 70 metric tons of soil were removed from under a leaning​ tower, and the angle the…

A:

Q: A pendulum of length 12.1 inches swings 5°37' to each side of its vertical position. What is the…

A:

Q: A vehicle driver left the Location (1) and traveled to the north with speed equal to 30 Km/hr, then…

A:

Q: A 26-ft ladder leans against a building so that the angle between the ground and the ladder is 78°.…

A: Topic-hight & distance

Q: In a circle of a radius of 6 m, an arc is subtended by a central angle of 7π/6 radians. The exact…

A:

Q: Find the length s of the arc that subtends a central angle of measure 80° in a circle of radius 15…

A:

Q: Find tangent of angle r as decimal rounded to four places

A:

Q: 2) A spotlight beam sweeps through a horizontal angle of 75.0°. If the range of the spotlight is 250…

A: Given: The Spot light sweeps the circular path. The radius of the circular path is r=250 ft. The…

Q: Find the coordinates of a point on a circle with radius 30 corresponding to an angle of 45° (х,у) -…

A:

Q: 14. If 0 is an angle in standard position and its terminal side passes through the point (S,-)0 on a…

A:

Q: A pedestrian overpass is being built with a 12.5°angle. If the overpass is 17.5 ft. high find the…

A: Using Sinx we get the length of ramp.

Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 62°.…

A: Given: Length of the ladder is, l=31 ft. Angle between ladder and the ground is, θ=62°. The…

Q: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 61°.…

A:

Q: 3. Find two elevation angles that will enable a shell, fired from ground level with a muzzle speed…

A: Solution: here we use the range formula

Q: Suppose that you are headed toward a plateau 40 m high. If the angle of elevation to the top of the…

A: given is you person  are headed toward a plateau 40 m high and the angle of elevation to the top of…

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.