Yvette and Zach are hiking the same trail and both see a mountain in the distance ahead of them. Yvette measures that, from ground level, there is an angle of 35 to the peak of from ground the mountain. Zach is 1,053 feet ahead of Yvette on the trail and measures, level, there is an angle of 48 to the peak of the mountain. To the nearest foot, how tall is the mountain?

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: To measure a stone face carved on the side of a​ mountain, two sightings 800 feet from the base of…

A: We have to find the height of stone face.

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

A:

Q: he shadow of a vertical tower is 40.6 m long when the angle of elevation of the sun is 34.6ﾟ find…

A: The shadow makes the adjacent side of the right-angle triangle; adjacent = 40.6 m angle of elevation…

Q: A man in a balloon observes two points, A and B, on the horizontal plane. The angle of depression is…

A: The sketch of the given problem is shown below, From triangle DAC,

Q: Two scuba divers are 20m apart below the surface of the water. They both spot a shark that is below…

A:

Q: Kurt spots a bird sitting at the top of a 40ft tall telephone pole. If the angle of elevation from…

A: Kurt spots a bird sitting it the top of a 40ft   tall telephone pole.…

Q: From a hotel a window 30 meters above the ground, allan finds that the angle of elevation of the top…

A: We have to draw a diagram according to the question and then we have to find the unknown sides of…

Q: The angle of elevation from x feet away from a building is 50°. The angle of elevation for 77 feet…

A:

Q: A man and a woman standing 3.8 miles apart spot a hot air balloon in the sky between them at the…

A: Let, B=balloon M=man W=woman D=perpendicular base of the balloon   We have to find BD.

Q: 200-meter cable is used to support a tower and the cable makes an angle of 60 degrees on the ground.…

A: Given query is to find the height of the tower.

Q: Suppose that you are headed toward a plateau 56 meters high. If the angle of elevation to the top of…

A: topic - trigonometric ratios

Q: When you reach the top of a mountain, a guide takes you ziplining back down it through a series of…

A:

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

A:

Q: Two people decide to estimate the height of a flagpole. One person positions himself due north of…

A: Given information: One person places in the north of the pole. Other person in the East of the pole.…

Q: Two boats leave a harbour at the same time and head out at an angle of 35 degrees to each other.…

A: Given , in ∆ADBLaw of cosines :-d2=a2+b2-2ab cos D

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

A: In the question it is asked to calculate the height of building for the following scenario.

Q: Two scuba divers are 20m apart below the surface of the water. They both spot a sea turtle that is…

A: Let BC=Distance from diver 1 to diver 2           =20m

Q: ana and rico are setting up decorations for their school dance. Rico is standing 5th directly in…

A:

Q: At the same instant, two observers, 3 miles apart, are looking at the same hot air balloon, See the…

A:

Q: From a point on the floor the angle of elevation to the top of a door is 48 degree while the angle…

A: Trigonometry is the study of the relationship between the sides and angles of a right-angled…

Q: 6. Sara is standing 35 feet from the base of a rock wall watching her two sons, Max and Jon, climb…

A:

Q: Two hikers are at opposite sides of a mountain, ready to begin their hike. The height of the…

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: Kaila is flying a Kite whose string is making a 70 degree angle with the ground the kite string is…

A: There are 2 probable positions of Kaila .

Q: In travelling across flat land, you notice a mountain directly in front of you. Its angle of…

A: First we would draw the diagram of the given situation on the board.According to figure, AB or h is…

Q: Richard sees a balloon that is 100 ft above the ground. If the angle of elevation from Richard to…

A: Given the angle of the elevation is 75 degrees. The given traingle is right angle traingle. Given…

Q: stellas Friends got her sky diving lessons for a birthday took off from the skydiver center…

A: According to the given information, Assume A represents sky diving center. AC represents distance…

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

A:

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

A: Given query is to find the height of the building.

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

A:

Q: Anthony wished to find the width of a river. He observed a tree directly across the river on the…

A: We have to find the width of the river.

Q: Peter stands on level ground between 2 buildings of different heights. He is 50 m away from building…

A:

Q: A large weather balloon is tethered by two ropes. One rope measures ft and attaches to the balloon…

A: The balloon's height is 10.60 the length of the second rope is…

Q: A kite is stuck in a tree and Joe is holding the string. The angle formed between the kite string…

A: This question is about application of trigonometry identities.

Q: You are a block away from a skyscraper that is 780 ft tall. Your friend is between you and the…

A:

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

A: We will use trigonometry for solving this problem

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

A:

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

A:

Q: how do i solve/ what is the answer to this problem? “as shown in the diagram below, a ladder 12 feet…

A: Given,  A ladder of 12 ft lean against the wall making an angle 72° with the ground  We have to…

Q: The angle of elevation from an observation tower to a plane is 15 degrees.  The plane is 3 miles…

A: I am attaching image so that you understand each and every step.

Q: The Gateway Arch in St. Louis is 630 feet. If a person is walking away from the Arch until the angle…

A: All this system makes a right-angle triangle whose base is to be determined. Right-angle triangle…

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

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A whale researcher is watching a whale approach directly toward a lighthouse as she observes from…

A: The horizontal lines are parallel to one another and hence by rule of alternate angles; a) the angle…

Q: Suppose that Mark is flying a kite with the string tied to his glasses (so that it’s easy to measure…

A: Mark’s eyes are 6 feet above the ground. The angle of elevation is 38°. The string is 80 feet long.

Q: After a wind storm, you notice that your 16-foot flagpole may be leaning, but you are not sure. From…

A: First assume flag pole is not leaning. Consider right angle triangle ABC, A represents the…

Q: The airline distance from Minneapolis to Chicago is 347 miles. It is 700 miles from Minneapolis to…

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 woman standing on a hill sees a flagpole that she knows is 60 ft tall. The angle of depression to…

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.