a rock dropped 182 feet straight down, from the learning tower. it lands 14 feet away from the base of the water what angle does the tower make with the ground

Q: The shadow of a vertical tower is 70.0​-ft long when the angle of elevation of the sun is 35.0°.…

A: Given that evaluation angle is 35° and shadow of the vertical tower is 70ft . We find height of the…

Q: measure a stone face carved on the side of a​ mountain, two sightings 650 feet from the base of the…

A: Given query is to find the height of the stone face using triangle.

Q: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A: Trigonometry is a branch of mathematics that studies relationships between side lengths and angles…

Q: 4. A four-meter ladder leans against a wall. If the foot of the ladder makes an angle of 70° with…

A:

Q: The base of a 175-foot cell phone tower is 42 feet from point A. Determine the measure of the angle…

A: The base of a 175-foot cell phone tower is 42 feet from point A. Determine the measure of the angle…

Q: A Albert and Belle are part of a scientific team studying thunderclouds. The team is about to launch…

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

Q: The angle of elevation from a point on the ground to the top of a pyramid is 32°30​'  The angle of…

A: The given information can be represented by the following figure. Let AB be the pyramid with height…

Q: A 12 foot long ladder is leaned against the wall so that the foot of the ladder is 3.5 feet from the…

A: solve the following

Q: Hot-air balloon 110 feet 50° Ground

A: We have to find height

Q: How far up the tree is the rope located? A 13-ft rope around the magnolia tree in the yard if tutu…

A: We will find the height of the rope tied in the tree from the ground.

Q: you lean a ladder 6.7 meters long against the wall. it makes an angle of 63 degrees with the level…

A:

Q: The bottom of the ladder is 13 feet from a wall and the top of the ladder touches the wall 8 feet…

A: Form the right triangle from the given situation than use the trigonometric ratio.

Q: A 45-foot tall tree is leaning towards a house, making an 86° angle with the ground. To stop the…

A: Given query is to find the measure of angle made by cable with the ground.

Q: What angle does the ladder make with the ground if a 15-foot ladder is leaned against a house and…

A: Explanation: Given that,  ladder = 15 feet distance between the base of ladder and house = 4 feet…

Q: 10 foot ladder is resting against the wall. The ladder touches the ground 7 feet away from the wall.…

A:

Q: A pine tree growing on a hillside makes a 76°angle with the hill. From a point 83 feet up the​ hill,…

A:

Q: . A 30-ft ladder leans against the building. Find the ground distance from the foot of the ladder to…

A:

Q: A man on the deck of a ship is 13ft above water level. He observes that the angle of elevation of…

A:

Q: From the top and bottom of a 56ft light house, the angle of depression of a ship are 41degrees and…

A: We have to find the height of the lighthouse above sea level.

Q: There is lightning rod on the top of a building. From a location 500 feet from the base of the…

A: The given information can be represented in the below figure.

Q: How to find the angle of the triangle

A: How to find the angle of the triangle.

Q: The angle of elevation of the top of a building from point A (the angle coming off of the ground to…

A:

Q: A ladder leans against the side of the house the latter is 19 feet long and forms an angle of…

A:

Q: a 24 foot ladder leaning against a building forms an 18 angle with the side of the building . how…

A:

Q: Two dormitories are located on a campus. The (direct) distance between their roofs is 47.2 meters.…

A: We will find the height of each building and the viewing angle as following.…

Q: From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the…

A:

Q: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 77∘.

A:

Q: 20. A new homeowner has a triangular shaped backyard. Two of the three sides measure 56 feet and 38…

A:

Q: large weather balloon is tethered by two ropes. one rope measures 23 feet and attaches to the…

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

Q: 60-foot ladder leans against a wall so that the base of the ladder is 9 feet from the base of the…

A: The angle of elevation is an angle that can be formed between the horizontal line and the line of…

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 77∘.

A: sin x=oppositehypotenuse

Q: From the top of a building 70 feet, high, the angle of elevation of the top of a vertical pole is 18…

A:

Q: side and a diagonal of a parallelogram are 12 inches and 19 inches respectively. The angle between…

A:

Q: A water tower is located 322 feet from a building. From a window in the building, an observer notes…

A: We can find the answer to both the question as below.

Q: The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If…

A: Consider that the angle of depression from top of a flag stick to golf ball is 24° and length of…

Q: A tree is struck by lightning and snaps off 37 feet above the ground. The top part of the tree, 127…

A: NOTE: Refresh your page if you can't see any equations. . here we have BC=37 AC=127

Q: A 109 ft. tree casts a shadow that is 130 ft. long. What is the angle of elevation of the sun

A:

Q: A smokestack is 190 feet high. A guy wire must be fastened to the stack 30 feet from the top. The…

A: Given, Height of smokestack = 190 feet  Guy wire is fastened to the stack 30 feet from the top  Guy…

Q: A 164-cm snowboard is leaned against a wall. The top of the snowboard reaches 155-cm high on the…

A: Apply trigonometry ratios

Q: 1) A soccer ball is placed 10 feet away from the goal, which is 8 feet high. You kick the ball and…

A:

Q: A tower 125 feet high stands on the side of a hill. At the point 240 feet from the foot of the foot,…

A: The situation can be depicted as follows:

Q: To find the height of a building, a person measures the angle of elevation to the top of the…

A:

Q: Cut out any large triangle. Fold the two sides of one angle of the triangle together to form the…

A: Let's sketch a triangle ABC which is cut out ;                  Let's draw the angular bisectors of…

Q: A person is standing 118 feet from the base of the Washington Monument. The person measures the…

A:

Q: A flagpole 94.9 ft tall is on the top of a building. From a point on level ground, the angle of…

A: According to the given problem , we haveAngle a is the angle of the elevation of the top of the…

Q: An escalator lifts people to the second floor, 25 ft above the first floor. The escalator rides at a…

A: Given  The escalator rides at a 30 angle

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

A:

Q: A pine tree growing on a hillside makes a 73° angle with the hill. From a point 82 feet up the hill,…

A: Consider the figure shown below,

Q: A funicular carries passengers up an embankment to an observation point. If the length of the track…

A:

Q: A 25 foot ladder leans against a building. The later base is 13.5 feet from the building. Find the…

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.