On a bike ride you come to a hill that has a grade of 5%. To the nearest degree, what is the angle this hill makes with a horizontal line?

Q: A roofline shows a span of 12 feet across a sloped roof, and this span is accompanied by a 2-foot…

A: Given figure:

Q: A straight trail leads from the Alpine Hotel, elevation 8000 feet, to a scenic overlook, elevation…

A: Given: A straight trail leads from the Alpine Hotel, elevation 8000 feet, to a scenic overlook,…

Q: The proper angle for a ladder is about 75° from the ground.  Suppose you have a 17 foot ladder.  How…

A: Answer is 16.5 ft. Explanation is given below

Q: an airplane is flying from New Orleans to Atlanta. As the airplane is about to finish its course,…

A:

Q: The bearing of a line is always measured as an angle from the ________ or _______rotating toward the…

A: The bearing of a line is always measured as an angle from the ________ or _______rotating toward the…

Q: The final approach of an airplane when landing requires an angle of descent of about 5∘. If the…

A:

Q: An observer at the top of a skyscraper sights a tour bus at an angle of depression of 61 degrees.…

A: Answer

Q: A lifeguard is 6ft above ground. She sees a swimmer at an angle of depression of 8°. What is the…

A: Dear,as per company guidelines we can answer only one question at a time,kindly post other question…

Q: - An airplane begins its descent with an average speed of 240 mph at an angle of depression of 4°.…

A: Given: Average speed of 240 mph at angle of depression of 4 degree To find how much altitude will…

Q: The proper angle for a ladder is about 75° from the ground. Suppose you have a 12 foot ladder. How…

A:

Q: A communication tower is located at the top of a steephill, as shown. The angle of inclination of…

A:

Q: At a certain time, a vertical pole 3 m tall casts a 4 m shadow. What is the angle of elevation ofthe…

A: Given that at a certain time, a vertical pole 3 m tall casts a 4 m shadow we have to find the angle…

Q: When you look up at an object, the acute angle measured from the horizontal to a line-of-sight…

A: we have been given a blank statement we have to fill the statement. Statement : When you look up at…

Q: The angle of inclination of a road is often expressed as a percent grade, which is the vertical nse…

A:

Q: A helicopter takes off from an airport at an angle of 10° 40' . How high will it reach after it has…

A: There are six trigonometric functions which are sine, cosine, secant, cosecant, tangent and…

Q: From a hot air balloon 2,500 feet above the ground, you see a clearing whose angle of depression is…

A: The height is 2,500 feet above the ground. The angle of depression is 25°

Q: You shoot a rocket with an angle of elevation of 60 degrees. If the rocket flies straight at 90…

A:

Q: A projectile is fired at a speed of 800 m/sec at an angle of 60°. How long will it take to get 22 km…

A: This problem is related to projectile motion and solve this using velocity and distance…

Q: At as distance "X" ft. away from the base of a hill, Mr. Somebody noted that the angle of elevation…

A: We will solve the following

Q: A kite flies at a height of 35 feet when 60 feet of string is out.If the string is in a straight…

A: We have, a kite flies at a height of 35 feet when 60 feet of string is out and the string is in a…

Q: The proper angle for a ladder is about 75° from the ground. Suppose you have a 24 foot ladder. How…

A: Given: The angle of the ladder is about 75° from the ground the ladder is 24 foot to find how high…

Q: The horizontal distance of the ramp is 8.3 feet and the vertical height of the ramp is 6.6 feet.…

A: Given: Horizontal =8.3 feet Vertical =6.6 feet To find: Angle of inclination=??

Q: at is the horizontal distance from the base of t

A: Given: From the observation deck of a skyscraper, Isabella measures a 67o angle of depression to a…

Q: If a hill has a percent grade of 52%, what angle does the hill make with a horizontal line? Round to…

A:

Q: d) A helicopter is hovering above a road at an altitude of 24 m. At a certain time, the horizontal…

A: given: A helicopter above a road at an altitude of 24 m. Distance between the car and the helicopter…

Q: A plane at an elevation of 5.5 km, approaches the airport at an angle of depression of 30°. A 30°…

A:

Q: Baldwin St. in Dunedin, New Zealand, is the steepest street in the world. It has a grade of 38%. To…

A: Let, the angle be x It is given that, the road has a grade of 38%

Q: A kite flies at a height of 30 feet when 65 feet of string is out. If the string is in a straight…

A: Given: A kite flies at a height of 30 feet when 65 feet of string is out. The figure gives the clear…

Q: From the top of a 575-ft high bluff, a rescue scout looks down upon a hot air balloon accident. The…

A:

Q: The angle of elevation of point C from point B is 29 degrees; the angle of elevation from C from…

A:

Q: A ladder 16 feet long leans against the side of a building, and the angle formed by the ladder and…

A: Given, Length of ladder = 16 feet

Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 200…

A: Given: A straight kite string makes an angle of 40° with the ground also 200 feet string has been…

Q: John (whose line of sight is 6 ft above horizontal) is trying to estimate the height of a tall oak…

A: Given:- John (whose line of sight is 6 ft above horizontal) is trying to estimate the height of a…

Q: The proper angle for a ladder is about 75° from the ground. Suppose you have a 25 foot ladder. How…

A: The proper angle for a ladder is 75o from the ground. Suppose you have  25 foot ladder. To find how…

Q: From the top of a light-house at a height 20 meters above sea level, the angle of depression of a…

A: Use trigonometric ratio, tan(theta) = Perpendicular/Base Note that, side opposite to the angle is…

Q: A wind tower at the top of a hill casts a shadow 30 m long along the side - the hill. An observer at…

A:

Q: Find the horizontal width of a skateboard ramp if it has height 3 ft and a 20-degree incline. Round…

A:

Q: Grove Street has a grade of 20%. That means that the street rises 20 ft for every 100 ft of…

A: We need to use trigonometric ratio to find the angle.

Q: A search-and-rescue team is airlifting people from the scene of a boating accident when they observe…

A: Here the angle of depression = 53° ∴ m∠A = 90°-53° = 37° The helicopter is 22 feet above the water.…

Q: Q1. How far is a man from the foot of tower 150 meters high, if the measure of the angle of…

A:

Q: Two kids, Albert and Bhara, are 20.0 m apart. Albert sees a soccer ball 25.0 m away. If the angle…

A:

Q: The proper angle for a ladder is about 75° from the ground. Suppose you have a 10 foot ladder. How…

A: Given : The proper angle for a ladder is about 75°.

Q: The diagram shows the side of a small shed with vertical walls of equal height and a roof that is…

A: A small shed is formed with two equal vertical walls and its roof is formed by two slanted sections.…

Q: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300 m. The pilot…

A: To Determine: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300…

Q: A building that is 225 feet tafl casts a shadow of various lengths as the day goes by. An angle of…

A:

Q: A hot-air balloon is floating above a straight road. To estimate their height above the ground, the…

A:

Q: A ________ measures the acute angle that a path or line of sight makes with a fixed north-south line

A: A Bearing measures the acute angle that a path or line of sight makes with a fixed north-south line.

Q: The top of a lighthouse, T, is 215 feet above sea level, L, as shown in the diagram below. The angle…

A:

Q: David’s construction company is designing roof trusses in the shape of isosceles triangles for new…

A: In a triangle, a line that connects one corner (or vertices) to the middle point of the opposite…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.