66. Height of Cloud Cover To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an angle 75° from the horizontal. An observer 600 m away mea- sures the angle of elevation to the spot of light to be 45°. Find the height h of the cloud cover. 45° 75° 600 m

Q: 14. In order to find the height of a pyramid, a scientist measures the angle of elevation between…

A: Here, we need to find the height of the pyramid, CD. Given: AB = 200ft

Q: 3. A jump ramp for waterskiing makes an angle of 20° with the surface of the water. The ramp rises…

A:

Q: 12) The length of a tree's shadow is 20 feet when the angle of elevation to the Sun is 40°. How tall…

A:

Q: 13) From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation is…

A: Distance ST=300m Angle,Alpha=5° To find ,Height,LT?

Q: 9) A ship approaching a bridge tower estimate the angle of elevation to the top of the tower to be…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 29) tower. If the observer walks 200 feet further away from the tower and measures a 6° angle of…

A: " I am solving only question number 29 because you asked me for only that." According to the…

Q: To estimate the height of a building, two students find the angle of elevation from a point (at…

A:

Q: 1.Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to…

A:

Q: 3) Cathy wants to determine the height of the flagpole shown in the diagram below. She uses a survey…

A: This question can be solved by applying the concepts of height and distance.

Q: 4. Two friends on the same side of a 10-foot fence measure the angle of elevation to the top of the…

A:

Q: To estimate the height of a building, a student finds the angle of elevation from a point (at ground…

A:

Q: 17. An observer at the top of a 50m lighthouse sights a boat out at sea at an angle of depression of…

A:

Q: 7. The Leaning Tower of Pisa, which has a height of 55.86 m from base to top, is leaning to the…

A: We can find both the answer as below

Q: 14. Jessica is viewing a space shuttle launch from a park 18 miles away from the launch point. When…

A: We can solve the given problem using trigonometrical ratio.

Q: 12. To determine the height of a pole across a road, Justin takes two measurements. He stands at…

A:

Q: Two people are standing on opposite sides of a small river. One person is located at point​ Q, a…

A: Find the length of the bridge and the distance between the two people.

Q: radio tower is located 375 feet from a building. From a window in the building, a person determines…

A: Given, A radio tower is located 375 feet from a building. From a window in the building, a person…

Q: 7) From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A: Given- Angle of depression=40∘ Height of tower=45 feet To find the distance of partner from the base…

Q: 23. The angle between the bottom of a fence and the top of a tree is 75". The tree is 4 feet from…

A: Given, theta = 75° adjacent= 4 feet Opposite= height of the tree= h

Q: 9. A hot air balloon is flying at an altitude of 800 feet. A passenger takes a picture of the top of…

A:

Q: _7. A person at one end of a 230-foot bridge spots the river's edge directly below the opposite end…

A: The person is at the point A. Bridge = AB = 230 foot The angle of depression = m∠A = 57° We have to…

Q: 26. The angle of depression of a television tower to a point on the ground 36.0 meters from the…

A: Given the angle of depression which is 29.5°

Q: 4. Nathan measures the angle of elevation to the top of an office building to be 57°. He then walks…

A:

Q: 3. A pole tilts towards the sun in an angle of 10° from the vertical and casts a 25 ft. shadow. The…

A:

Q: 3. The angle of depression from the top of a 130-meter high vertical cliff to a boat is 48°. Find…

A:

Q: 7. The angle of elevation of a tree reduces from 40° to 20' when an observer advances 75 ft. towards…

A: The angle of elevation of a tree reduces from 40degree to 20degree when an observer advances 75ft…

Q: 4. Standing on a level road 50 feet from the base of a billboard, the angle of inclination to the…

A:

Q: 8. From an airplane which is flying at an altitude of 3000 feet, the angle of depression of an…

A: Given that Altitude of an aeroplane is 3000 feet  The angle of depression of an airport ground…

Q: 5- Mr. Gow needs to build a wheelchair access ramp for the school's auditorium. The ramp must rise a…

A:

Q: 10. The shadow of a tree is 70 feet long at a certain time of day. Find the height of the tree if…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 5. The East Campus Provost decides to order a new rope for the flagpole. To find out what length of…

A:

Q: The angle of elevation from an anchor to the top of a flag pole is 20°. If the pole is 10 meters…

A:

Q: 1. Brian's kite is flying above a field at the end of 65 m of string. If the angle of elevation to…

A: Given data: Length of the string 65 m. Angle of elevation 70∘. Holding the kite off the ground is…

Q: Find the length S of arc of a circle of radius 30 centimeters subtended by the central angle 57 S…

A: The radius of segment r = 30 cm Central angle θ= 57°

Q: 7. You are standing 63m away from the base of a building. You measure the angle of elevation formed…

A:

Q: The angle of elevation from a point on the ground to the top of a tower is 38° 41'. The angle of…

A:

Q: 12) The angle of elevation to the top of empire state building is found to be 60° from the ground at…

A:

Q: 34) The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the…

A:

Q: Find an approximate value of the smallest angle in the right triangle with sides 8, 15, and 17 units…

A: Given, The sides of the right angle triangle 8, 15 & 17 units We have to find an approximate…

Q: 7. An aeroplane is observed to be approaching the airport. It is at a distance of 12 km from the…

A: Explanation: Given that: The distance of aeroplane from point of observation is 12km And angle of…

Q: 20. To measure the height of Lincoln's caricature on Mt. Rushmore, two sightings 800 feet from the…

A: Given:

Q: 33) A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base…

A:

Q: 2. Michael stands 16 metres from the base of a building. He measures the angle of elevation to the…

A: Given data:- Distance between Michael and base of the building is = 16 m. Angle of elevation…

Q: 7.) A person 72 inches tall is currently casting a shadow that measures 56 inches on the ground. To…

A:

Q: A radio tower is located 450 feet from a building. From a window in the building, a person…

A:

Q: 8) Find the shadow cast by a 10 foot lamp post when the angle of elevation of the sun is 58°. Find…

A:

Q: 11) From a point on level ground 25 feet from the base of a tower, the angle of elevation to the top…

A: Given,

Q: A radio station tower was built in two sections. From a point 87 feet from the base of the tower,…

A:

Q: 3. An observer in the street notes that the angle of elevation to the top of the building is 44°…

A: First we draw a diagram. Let AB is the height of the building.  First we use triangle ABC then we…

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.