32 48° 5 mi

Q: 3. Altitude of a hot air balloon. The angle of depression 0 from a hot air balloon to the recovery…

A: Given the angle of depression is 33 Let the height of the balloon above the valley floor is x ft.

Q: a man is standing near a radio station antenna observes that the top of the antenna is 54°. walks 60…

A:

Q: angle of elevation from point A on the ground to the top of a 225-foot cell phone tower is 65°.…

A:

Q: Height of an Obelisk Two people decide to find the height of an obelisk. They posi-tion themselves…

A: In △ABC, tan 65∘=hxh=x tan 65∘     (1) In △ABD, tan 54∘=h25+xh=tan 54∘25+x       (2)

Q: Height of a building From a point A that is 8.20 meters above level ground, the angle of elevation…

A: The point A is 8.20 m above the ground level. Let PQ be the building. A rough sketch for the…

Q: 17. An eagle 300 feet in the air spots its prey on the ground. The angle of depression to its prey…

A: Given: Eagle at 300 feet high The angle of depression is 15° Use formula In right-angle triangle for…

Q: Speed of an airplane An airplane flying at an altitude of 10,000 feet passes directly over a fixed…

A: Definition used-                              Speed of plane V=Altitutdetan (Angle of…

Q: Distance Two guy wires from the top of a 35­foot tent pole are anchored to theground below by two…

A: Length of the tent pole is 35 foot. The tent pole is perpendicular to the ground and between the two…

Q: A plane is flying at an elevation of 2500025000 feet. It is within sight of the airport and the…

A: Given,         Elevation of plane= 25000 feet       Angle of depression to airport = 24

Q: Distance between Runners Two runners in a marathondetermine that the angles of elevation of a news…

A: Two runners in a marathon, the angles of elevation of a news helicoptercovering the race are 38° and…

Q: Height of a tower From a point P on level ground, the angle of elevation of the top of a tower is…

A: Refer the illustrative figure below.

Q: Altitude of a rocket A rocket is fired at sea level and climbs at a constant angle of 75° through a…

A: The diagram for this problem is as shown below.

Q: 9.8 ft 59°

A:

Q: Distance A hot-air balloon is held at a constant altitude by two ropes that areanchored to the…

A: To Determine: What is the distance between the points on the ground at which the two ropes are…

Q: You are at the airport and observing airplanes. You are watching an airplane approaching the…

A: Given You are at the airport and observing airplanes. You are watching an airplaneapproaching the…

Q: A vertical pole stands on a plane inclined at an angle of 12⁰ with the horizontal. At the base of…

A:

Q: 8. An airplane is approaching Seattle international airport. The pilot begins a 13 degree angle of…

A: We have to find distance between airoplane and airport.

Q: Height of a Hill A road up a hill makes an angle of 5 degree with the horizontal. If theroad from…

A:

Q: Standing on the gallery of a lighthouse a person spots a ship at an angle of depression of 20…

A:

Q: plane rises from take-off and flies at an angle of 6° with the horizontal runway. When it has gained…

A:

Q: A boy is flying a kite. His kite string is extended 50 meters long. The boy is 1.7 meters tall, and…

A: Given: To calculate: Length of AE.

Q: Height of a Door From a point on the floor the angle of elevation to the top of adoor is 478, while…

A:

Q: boat is heading towards a lighthouse, whose beacon-light is 110 feet above the water. The boat’s…

A: Given query is to find the distance of the ship from the light house.

Q: A plane is flying at an elevation of 23000feet. It is within sight of the airport and the pilot…

A: Consider the diagram for the given condition as, In the above diagram the airport is at C and the…

Q: Alex is standing 60 feet from the base of a flagpole. He measures the angle of elevation to the top…

A:

Q: Angle of Depression A cellular telephone towerthat is 120 feet tall is placed on top of a mountain…

A: Trigonometry: Angle of Depression A cellular telephone tower that is 120 feet tall is placed on top…

Q: 10. An airplane A is 1000 feet above the ground and directly over a church C. The angle of elevation…

A: We have to find how far to nearest foot is boy from church and  nearest foot, is the boy from the…

Q: Height of a tree A forester, 200 feet from the base of a red- wood tree, observes that the angle…

A: According to given problem

Q: Angle of Depression A person standing 5.2 feet from a mirror notices that the angleof depression…

A:

Q: bird

A:

Q: . Elevation of a Kite A man is lying on the beach, flyinga kite. He holds the end of the kite string…

A: Given that ; The angle of elevation of the kite is    50°   . The string is 450 ft long .

Q: urt is flying his airplane over a campground. He spots a small fire below at an angle of depression…

A: Kurt is flying his airplane over a campground. He spots a small fire below at an angle of depression…

Q: Height of a Rocket A rocket fired straight up is tracked by an observer onthe ground 1mi away.(a)…

A:

Q: Height of Cloud Cover To measure the height of the cloud cover at an airport, a worker shines a…

A:

Q: 2. A boy flies a kite with a 100-foot-long string. The angle of elevation of the string is 48°. Find…

A: 2) The given problem will be solved by using Trigonometric Ratios

Q: 8. A vertical pole is 10 m tall. A cable is connected from the top of the pole to a point on the…

A: Use the basic trigonometry and find x

Q: Distance Between Two Ships A pilot measures the angles of depression to two ships to be 40° and 52°…

A:

Q: 17. You are lost at sea. A helicopter has come to rescue you. The helicopter is flying at a height…

A: Introduction: The angle of depression and the angle of elevation are related to trigonometry. When a…

Q: A hot air balloon is flying at an altitude of 2926 feet. the angle of depression for the pilot in to…

A: We use Trigonometry ratios to solve this Question

Q: The line of sight of an alidade on a plane table is directed towards the tip of an observation tower…

A: When an elevation angle is provided and one of the lengths is provided trigonometric identities have…

Q: 7. You are standing on a riverbank. An observation tower on the other side of the river is known to…

A: Given tower height is 150 ft.Let the distance between base of tower and you is x ft.We know that tan…

Q: Length of a Guy Wire A communications tower is located at the top of a steep hill, as shown. The…

A: Given : The angle of inclination of the hill is 58°. A guy wire is to be attached to the top of the…

Q: A water tower is located X =350 ft from a building (see the figure). From a window in the building…

A: Given that:   A tower is located x=350 ft from a building. From windows it is observed that the…

Q: Distance to Mt. Fuji The peak of Mt. Fuji in Japan is ap- proximately 12,400 feet high. A…

A:

Q: Height of a Tree To estimate the height of a tree, one person positions himself duesouth of the…

A: Let one person stand at A and another at B and tree is at point C. Distance between person and tree…

Q: 3. CAMERA DISTANCE, REVISITED From the top of a building a photographer is focusing on a point on…

A: Now the visual description of the given problem is:

Q: A tower and a monument stand on a level plane. The angles of depression at the top and bottom of the…

A:

Q: Height of a Rocket A rocket fired straight up is tracked by an observer on the ground 1 mi away.(a)…

A: (a)The triangle in the given figure is a right angled triangle. The value of 1 mile = 5280ft Use the…

Q: 32. Flight of a Plane A pilot is flying over a straight highway. He determines the angles of…

A: Given a pilot is flying over a straight highway.

Q: A plane is flying at an elevation of 25000 feet. It is within sight of the airport and the pilot…

A: Given Data: The elevation of the flying plane is: y=25000 ft The angle of depression of the airport…

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.