To find the distance across a river, a swimmer chooses 2 points which are 300 feet apart on one side of the river. She chooses a reference point C on the opposite side of the river. Angle ABC is 40 degrees and angle BAC is 75 degrees. Find the distance from A to C to the nearest foot.

To find the distance across a river, a swimmer chooses 2 points which are 300 feet apart on one side of the river. She chooses a reference point C on the opposite side of the river. Angle ABC is 40 degrees and angle BAC is 75 degrees. Find the distance from A to C to the nearest foot.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.3: Informal Geometry And Measurement

Problem 16E: When two lines cross intersect, they have exactly one point in common. In the drawing, what is the...

See similar textbooks

Related questions

Q: An observer found the angle of elevation at the top of the tree to be 27 degrees. After moving 10 m…

A: Given: To determine: length of AB

Q: From the top of a tower 63.2 feet high, the angles of depression of two objects situated in the same…

A: Given- Height of tower=63.2feet Angle of depression of two objects are- α=31∘16' and β=46∘28' We…

Q: A surveyor sights two signs and the angle between the two lines of sight measures 80°. If the first…

A: Given that the angle between the two lines of signs is 80∘. The first and the second signs are 70 m…

Q: Marla needs to find the height of a building. From a given point on the ground, she finds that the…

A: Geometrical representation of the problem: We need to find the value of h.

Q: The angle of elevation from Mindy to a cell phone tower is 75°. If Mindy is standing 28 feet from…

A: M → Mindy TD → Tower , ∠ TMD = 75° , MD = 28 ft .

Q: In order to reach the top of a hill which is 250 feet high, one must travel 2000 feet straight up a…

A: Definition used - sinθ =OppositeHypotenuse

Q: The measure of one interior angle of a parallelogram is twice the measure of another angle. Find the…

A: Let ABCD be a parallelogram . In parallelogram , opposite angles are equal Consecutive angles are…

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

A: length of other diagonal is 10.22 inches detailed solution is given below

Q: . A hiker (1.7 m tall) measures her distance to the foot of a Sequoia tree to be 25 meters. She also…

A: In our question given that a hilker measure her distance to be 25 meter. She also measures the angle…

Q: helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of 20°. After…

A: Given:- A helicopter, hovering 1000m above the board, was observed by a truck driver at an angle of…

Q: The lengths of the diagonals of a parallelogram are 20 inches and 30 inches. The diagonals intersect…

A: Given that, the lengths of the diagonals of a parallelogram are 20 inches and 30 inches and the…

Q: As Paula looks up at the top of the monument, she finds that the angle of elevation is 20 degrees.…

A: Given:Degree=20°Monument tall=5 meterstanx=opposite sideadjacent side

Q: To measure a stone face carved on the side of a mountain, two sightings 850 feet from the base of…

A: Given that: Angle of elevation at the bottom of the face=25°Angle of elevation at the…

Q: 13. From the top of her apartment building, Simone estimates that the angle of elevation to the top…

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

Q: The height of a radio tower is 650 feet and the ground on one side of the tower slopes upward at an…

A: Given Height of radio tower 650 feet. The tower slopes upward at an angle of 10°. The top of…

Q: A hiker wants to know the height of a cliff. She finds that the angle of elevation from her current…

Q: One angle in a parallelogram measures to be 71 degrees. What is the measure of one of it's adjacent…

A: Topic:- geometry

Q: At a point on the ground 54.0m from the foot of a tree, the angle of elevation to the top of the…

A: Given:

Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 210…

A: It is given that the length of the string is 210 feet and angle of the string with the ground is…

Q: In triangle XYZ, side XZ is 11⁄2 feet long and side YZ is 21⁄4 feet long. a. Find the size of angle…

A: A triangle is a polygon with three sides. A right triangle is a triangle with one of the angles…

Q: The sides of a parallelogram are 14 ft and 16 ft. One angle is 41° while another angle is 139°. Find…

A: Let ABCD be a parallelogram with sides AB=CD=14 ft and BC=DA=16 ft, angle ABC=139 degrees and angle…

Q: The height of a radio tower is 750 feet, and the ground on one side of the tower slopes upward at an…

A: The objective is to find the lengths of first and second guy wire.

Q: The hypotenuse of a right triangle is 12 feet. If one leg is 8 feet,find the degree measure of each…

A: Let ∆ABC be a right triangle. such that ∠B=90° To find: Measure of all angles.

Q: A broken flagpole forms a right triangle with the ground. If the angle which the broken part makes…

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…

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

Q: In a triangle, one angle is equal to 60" Find the obtuse angle formed by angle bisectors of the…

A: Considering triangle ABC, Given, Angle A= 60° Let the bisector of angle B and C meet at O.

Q: A loading ramp 10 feet long that makes an angle of 18° with the horizontal is to be replaced by one…

A: According to the question , we can draw the following diagram: Let say, AC is the old ramp, which…

Q: One angle in a parallelogram measures to be 82 degrees. What is the measure of one of it's adjacent…

Q: If a kite is 140 feet high, the string of the kite makes an angle of 60° with the horizontal ground.…

Q: A person noted that the angle of elevation to the top of a tree was 65° at a distance of 11 feet…

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: 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: The height of a radio tower is 750 feet, and the ground on one side of the tower slopes upward at an…

A: The height of the tower is 750 feet. and ground on one side of the tower slopes upward at an angle…

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

Q: At a point on the ground 27.6 meters from the foot of a flagpole, the angle of elevation to the top…

A: The point is 27.6 meter from the foot of the flagpole, from that point the angle of elevation to the…

Q: measure a stone face carved on the side of a mountain, two sightings 750 feet from the base of the…

A: Let the height of the stone face is AB=h and the angle of elevation to the bottom of the face is…

Q: and

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: The diagram shown in the figure represents the height of a blimp flying over a football stadium.…

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: The diagonals of a parallelogram are 7 inches and 9 inches respectively, they intersect at an angle…

Q: Engineers want to measure the distance from P to Q, but the span from P to Q is across the tip of a…

Q: Two volunteers help during the New Year's Day Parade by pulling a parade balloon using two ropes.…

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

Q: The measure of an angle in standard position is given. Find two positive angles and two negative…

Q: he angle that the top of a tree makes with the horizon is 59∘. The distance that the measurement of…

Question

To find the distance across a river, a swimmer chooses 2 points which are
300 feet apart on one side of the river. She chooses a reference point C on
the opposite side of the river. Angle ABC is 40 degrees and angle BAC is 75
degrees. Find the distance from A to C to the nearest foot.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The angle of elevation to the top of a flagpole at a distance of 19 feet from its base is 64.6. How tall is the flagpole?
One angle of a right triangle measures 56°. What is the measure of the other small angle?
A pine tree casts a shadow of 80 feet next to a 30 foot tall building which casts a 40 feet shadow. How tall is the pine tree?
At a point 65 feet from the base of a church, the angles of elevation to the bottom of the steeple and the top of the steeple are 35 and 43, respectively. Find the height of the steeple.
Consider any triangle and one exterior angle at each vertex. What is the sum of the measures of the measures of the three exterior angle of the triangles?