Two observers are standing on shore 2 mile apart at points F and G and measure the angle to a sailboat at a point H at the same time. Angle F is 63° and angle G is 56 Find the distance from each observer to the sailboat.

Q: The length of the shadow of a flagpole 55.20 ft tall is 27.65 ft. Find the angle of elevation of the…

A: Given that height of a flagpole AC = 55.20 ft Length of the shadow AB= 27.65 ft Need to evaluate…

Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings…

A:

Q: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

A: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

Q: Two observers are standing on shore 2 mile apart at points F and G and measure the angle to a…

A:

Q: a man standing on the roof of a building 58.0 feet high looks down to the building next door. He…

A: Given the angle of depressions of top and bottom of the buildings are 34.9 degree and 63.8 degree…

Q: A person standing 251 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall. How many…

A: Given that Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall.

Q: Two radar stations 450 feet apart are monitoring the same boat located in between them. From the…

A: A very important application of trigonometry is height and distance problem. It is assumed to be a…

Q: The shadow of a 60 foot tall pole is 100 feet long. What is the angle of elevation from the end of…

A:

Q: Two people start from the same point. One walks east at 4 mi/h and the other walks northeast (45…

A:

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A:

Q: Louie and Bugs, who are standing 90 feet apart, are lookin them. If the angle of elevation from…

A:

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

A: We sketch the situation roughly C and D are two mile posts. So the distance between them is = 1…

Q: A man 5 ft tall casts a shadow of 5 ft on the ground. Find the angle of elevation of the sun?

A: given height of a man is 5ftShadow of 5ft on the groundfind the angle of elevation of the sun?

Q: You stand 50 inches from the base of the lamp post with a height of 130 inches. Find the angle of…

A: Given base is 50 inches from you andheight of lamp post is 130 inchesWe need to find angle of…

Q: In order to estimate the height of a building, two students stand at a certain distance from the…

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Q: Two cyclists leave from the same location with an angle of 63° between their paths. Johal travels…

A:

Q: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: What should be the height of a flagpole where a 20 feet long ladder reaches 20 feet below the top of…

A: Given: The length of the ladder is 20 feet long.

Q: What is the angle of elevation to the kite if a kite is 40 feet off the ground and the string…

A: Consider the diagram drawn as per the given information, here the objective is to find the angle of…

Q: when the sun is at a certain angle in the sky, a 20-foot flagpole will cast a 16 foot shadow. How…

A:

Q: an 35 foot ladder leaning against a house makes a 15 degree angle with the ground. How far up the…

A: The building, the ladder, and the ground form a right triangle.   where angle between ladder and…

Q: A water tower is located 325ft from a building. From a window on the 10th floor, the angle of…

A: As given in the question distance of water tower is 325 ft from building, the angle of elevation to…

Q: A child is enjoying a Saturday afternoon flying a kite. While holding the string 4 feet above the…

A:

Q: Gina is standing near a building and notices that the angle of elevation to the top of the building…

A: Let 'h' ft be the height of the building. Let the starting position of Gina be A.  She moved 78ft…

Q: From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff…

A:

Q: At one location, the angle of elevation of the top an antenna is 44.2°. At a point that is 100 feet…

A: We sketch the situation roughly

Q: Two radar stations 450 feet apart are monitoring the same boat located in between them. From the…

A: 2.

Q: A person standing 188 ft from the base of a church observed the angle of elevation to the church's…

A: Given:  The person standing 133 ft from the base of church observed the angle of elevation to the…

Q: Mo is on a baseball team and hears that a ball thrown at a 45 degree angle from the ground will…

A:

Q: A geologist measured the angle of elevation to the top of a mountain to be 39°. From a point 200…

A:

Q: The most powerful lighthouse on Lake Michigan is 50 m tall. Suppose you are in a boat just off the…

A:

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

A:

Q: From a point on level ground 125 feet from the base of a tower, the angle ofelevation is 57.2°.…

A: let a represents the height of the tower. In the right triangle, we have a known angle, an unknown…

Q: 10. Burj Khalifa in Dubai is the tallest building in the world, standing at 828 meters. An adjacent…

A: The solution for the above question is as shown below.

Q: A triangular plot of the land had one side along a straight road measuring 300 feet. A second side…

A: Use the sine laws to find the length of other side's.

Q: From a point on level ground 145 feet from the base of a tower, the angle of elevation is 52.6°.…

A: Given From a point on level ground 145 feet from the base of a tower, the angle of elevation is…

Q: A 100 ft. ladder rests on top of a hook and ladder truck with its base 11 feet from the ground. When…

A: We know that the trigonometric ratios :  sin(x) = opposite /hypotenuse .

Q: A ladder leaning against the wall makes an angle of 74° with the ground. the base of the ladder is…

A:

Q: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Find the angle of elevation of the…

A: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Let θ be the angle of elevation of…

Q: A hot-air balloon is held at a constant altitude by two ropes that are anchored to the ground. One…

A: find the distance in the following way:-

Q: David is looking out of his window at the office building 40 feet away across the street from him.…

A:

Q: How tall is a building that casts a 75​-ft shadow when the angle of elevation of the sun is 35°​?

A: height of building =?

Q: 2. When a man measured the angle of elevation of the top of the tower from a cert point, it was…

A: Given problem:- When a man measured the angle of elevation of the top of the tower from a certain…

Q: A street rises vertically 4.2 m for each 135.1m horizontal distance. What is the angle the street…

A: To calculate the angle that made by street with horizontal where, the vertical distance is 4.2 m and…

Q: Two fire stations are 15 miles apart. Fire station B has an angle of elevation of 38* to the fire.…

A:

Q: Two vertical poles, A and B, cast shadows on the ground with lengths of 12 and 25m respectively. If…

A: From the given problem the representative diagram is as shown below: Let the height of pole A is y…

Q: A man standing on top of a building 60.0 feet tall is looking at the building next door. He notices…

A:

Q: a ship is 2.3 degrees off course if the ship is travelling at 11 miles per hour how far course will…

A: distance travelled by ship d (speed = 16 miles per hour) so distance d = speed*time =11*3 =33 miles

Q: 3. Joey has already released 180 m of string while flying a kite. Suddenly, his kite got stuck on a…

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.