A woman is standing 15 meters away from a 20-meter tall building. At what angle is she looking to the top of the building (to three decimals)?

Q: 2. From the top of the cliff 350 ft. high, the angle of depression of a boat on the sea is 15°. How…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: A rope is attached to the bottom of a hot-air balloon that is floating above a flat field. If the…

A: Given: The angle of elevation of the balloon is 65°, and the rate of pulling of rope is 5 ft /s.…

Q: A baseball is thrown from the stands 32 ft above the field at an angle of 30 up from the…

A:

Q: A person standing 251 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: The radius of a wheel rolling on the ground is 80 centimeters. If the wheel rotates through an angle…

A: Given that the wheel is rotated by an angle of 60°We know that i°=π180 and∴60°=60xπ180rad=π3rad

Q: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

Q: At 10:30 AM Aristotle notices the angle of the sun makes a 15 meter shadow when it is behind a 12…

A:

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

Q: At what rate is the angle between a clock’s minute and hour hands changing at 4 o’clock in the…

A:

Q: A woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

A:

Q: A boy flying his kite releases the entire length of his string which measures 21 m, so that the kite…

A:

Q: A 29-ft ladder leans against a building so that the angle between the ground and the ladder is 75°…

A:

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: A woman is watching a launched rocket currently 13 miles in altitude. If she is standing 3 miles…

A: The given information ( Rocket altitude = 13 miles and women standing at 3 miles from the launchpad…

Q: Suppose that you are headed toward a plateau 21 meters high. If the angle of elevation to the top of…

A: Let’s analyse the given information pictorially.

Q: From a hot-air balloon, Addison measures a 27∘∘ angle of depression to a landmark that’s 989 feet…

A: given: From a hot-air balloon, Addison measures a angle of depression to a landmark that’s 989 feet…

Q: D Listen During her shift, a pilot flies from Columbus to Atlanta, a distance of 448 miles, and then…

A: To find out the angle from phoenix airport to the cities of atlanta and columbus

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: sin theta=opposite/hypotenuse

Q: A forester, 175 feet from the base of a redwood tree, observes that the angle between the ground and…

A: Let AB be the height of the tree and C be the position of the Forester as shown below.

Q: To the nearest tenth, what angle of descent (angle of depression) must a plane 264,000 horizontal…

A:

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: A 18 18-ft ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Here, AB is the ladder.AB=65∠ABC=65° We need to find the value of AC.

Q: A child is enjoying a Saturday afternoon flying a kite. While holding the string 4 feet above the…

A:

Q: A telephone company is building a 30-foot antenna to carry cell phone transmissions. As shown in the…

A:

Q: A 33-ft ladder leans against a building so that the angle between the ground and the ladder is 79°.…

A: Basic trigonometry

Q: Juliet is standing atop a 15--foot balcony when she spots Romeo at an angle of depression of 5°. How…

A:

Q: An aircraft is climbing at a 30 degree an

A: Given: An aircraft is climbing at a 30∘ angle to the horizontal.

Q: A 100-foot vertical tower is to be erected on the side of a hill that makes a 6° angle with the…

A: ANSWER IS AS FOLLOWS:

Q: The base of an isosceles triangle is 8 feet long. If the altitude is 6 ft long and is increasing 3…

A: Let ABC be an isosceles triangle where x = Base angle, y = Altitude. Given: BC = 8 ft , y=6 and dydt…

Q: You are standing 100 ft from an arch that is 68 ft tall. At what angle do you have to look up to see…

A: Topic = Trigonometric ratios

Q: A boy flying his kite releases the entire length of his string which measures 26 m, so that the kite…

A: Find the solution below

Q: A projectile is fired at a speed of 840 m/ sec at an angle of 60°. How long will it take to get 21…

A: Given:

Q: The distance from the home plate to the fence in dead center at a certain baseball field is 393…

A:

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: We will use formula of sin(x) to solve this.

Q: An escalator in a department store rises 80 feet at a 32° angle, as shown below. 80 feet What is the…

A: It is a right angle triangle so  SinA = opposite side/ adjacent side Given A =32o And opposite side…

Q: Find x, the angle of depression from the top of a lighthouse that is 173 ft above water level to the…

A: We have to find the angle x.

Q: A surveyor measured the angle of elevation of a flat spire as 15⁰ from a point on horizontal ground.…

A: Given data is : Angle of elevation of a flat spire as 15∘ from a point on horizontal ground. He…

Q: The altimeter of a jet airplane approaching Eusebio International Airport records 6,300 feet as it…

A:

Q: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

A: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

Q: What is the distance of AC to the nearest meter?

A: Given that: A triangle ABC such that ∠A=85°,∠B=65° and AB=400m

Q: How tall is a building that casts a 75​-ft shadow when the angle of elevation of the sun is 35°​?

A: height of building =?

Q: A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of 135…

A: Since, A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of…

Q: A 26-foot long escalator is intended to carry people a height of 11 feet. During construction, at…

A:

Q: A surveyor detects that the angle of elevation to the top of a skyscraper is 14) 42°45'. After…

A:

Q: A forester standing 200 feet from the base of a redwood tree observes that the angle of…

A:

Q: The builder of a parking garage wants to build a ramp at an angle of 12 that covers a horizontal…

A:

Q: A helicopter is hovering 78 feet above a landing pad. If the man is 81 feet from the landing pad,…

A:

Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

A: To find: Rate of change of angle between a clock's minute and hour hand at 7 AM. In other words, the…

Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

A: Given: Formula used: a2=b2+c2-2bc cos 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.