A life preserver is seen floating down a river. The life preserver is first spotted 50 feet away. A few moments later the life preserver is 10 feet away, making a 65° angle between the two sightings. How far did the life preserver travel? Round to the nearest tenth.

Q: Find the degree measure of the angle formed by the hands of a clock at 5:00 in the afternoon.

A:

Q: A person standing 306 feet from the base of a church observed the angle of elevation to the church's…

A: According to the question distance between base of the church and the observing person is 306 feet.

Q: The Washington Monument in Washington, D.C. is 555 feet tall. If a tourist sees the monument with a…

A: The Washington Monument in Washington, D.C. is 555 feet tall and a tourist sees the monument with a…

Q: A 20-ft-tall light post casts a 25-ft shadow along level ground. What is the angle of elevation of…

A: A 20-ft-tall light post casts a 25-ft shadow along level ground.

Q: If a 20-foot ladder makes a 65. angle with the ground, how many feet up a wall will it reach? Round…

A: We can easily found height of wall it will reach by ladder by using sine of angle .

Q: A surveyor wishing to find the height of a lighthouse measures the angle A at a point 120 ft. from…

A: Let the height of the light of the lighthouse is h. See the picture below

Q: If you stand 35 feet from the bottom of a movie screen and the screen is 75 feet tall, what is the…

A: If you stand 35 feet from the bottom of a movie screen. The screen is 75 feet tall its make a…

Q: When a six-foot pole casts a four-foot shadow, what is the angle of elevation of the Sun? Round to…

A: A six-foot pole casts a four-foot shadow. Now the diagrammatic representation is,

Q: An 85-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: A surveyor stands on a grassland and sees an evergreen tree on the side of a hill. Using their…

A:

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

A: Given: The distance between the base of a tree and person is 100 meters. Angle  between the ground…

Q: Find the reference angle of 55 degrees.

A: Let, the given angle , θ = 55°Reference angle is always the smallest angle that we can make from the…

Q: Find the angle of elevation of the sun, in degrees, when a 12 meter tall telephone pole casts a 21.6…

A:

Q: Use the law of sines to find the measure of the indicated angle

A:

Q: 25 ft. - 42 ft.-

A: height of flagpole = 25 ft  length of shadow = 42 ft

Q: The radian measure of an angle of 22 degrees is?

A:

Q: From the top of a building that overlooks an ocean, an observer watches a boat sailing directly…

A: Firstly try to make the diagram of the given information and then observe. Use tangent of angle to…

Q: A civil engineer is calculating the height of a tall tree. She stands 57 feet from the base of the…

A:

Q: A 107 feet tall building casts a shadow of 90 feet. To the nearest whole degree, what is the angle…

A: Given: -

Q: A building that is 360 feet tall casts a shadow 60 feet long. What is the angle of elevation of the…

A:

Q: A 50foot tall building has a shadow that is 5 feet long. What is the angle of elevation of the sun?…

A: Given, Height of building is 50 foot. Length of shadow is 5 feet. To find: Angle of elevation of the…

Q: The radian measure of an angle of 244 degrees is

A:

Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: 3. Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is…

A: As per our guidelines we are supposed to do only first question among multiple questions. To get the…

Q: What is the equivalent radian measure for the angle 43 degrees?

A:

Q: What is the meaning of “an angle with measure 2 radians”?

A: Our Aim is to tell the meaning of "an angle with measure 2 radians".

Q: A building that is 240 feet tall casts a shadow 40 feet long. What is the angle of elevation of the…

A:

Q: The empire state building is 1250 ft tall and approximately 3.0 mi from the brooklyn bridge. From…

A:

Q: A 12-foot metal guy wire is attached to a broken stop sign to secure its position until repairs can…

A: It is given that, A 12-foot metal guy wire is attached to a broken stop sign to secure its position…

Q: . The Sears Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

A:

Q: A 500-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of…

A: Given a 500 ft -guy wire is attached to the to a communications towerand makes an angle 65° with the…

Q: a man standing near a radio station antenna observes that the angle of elevation to the top of the…

A:

Q: A tree in Daniel's yard died and he's worried it might fall and hit the house if left alone. He…

A: SOLUTION-

Q: A 16 foot ladder leaning against a wall of a house makes a 50∘angle with the ground. How far up the…

A:

Q: A building 34.65 feet tall has a shadow that is 38.65 feet long. Find the angle of elevation of the…

A:

Q: A building that is 210 feet tall casts a shadow 70 feet long. What is the angle of elevation of the…

A: From the given problem the represented diagram is as shown below. Let the angle of elevation of the…

Q: A person standing 241 feet from the base of a church observed the angle of elevation to the church's…

A: It is given that, A person standing 241 feet from the base of a church observed the angle of…

Q: . A monument is 550 feet high. If you are standing one quarter of a mile, or 1320 feet, from the…

A:

Q: What is the radian measure of a 270° angle? What is the degree measure of a 5p>4-rad angle?

A: Given: Angle 270° and 5π4 radian.

Q: How tall is a bridge if a 6-foot tall person standing 100 feet away can see the top of the bridge at…

A:

Q: A ship is just off the shore of New York City. A sighting is taken on the Statue of Liberty, which…

A: Given  Height = 305 feet  Base = 950 feet  We need to find the angle of elevation

Q: A surveyor measured the angle of elevation of a flat spire as 15⁰ from a point on horizontal ground.…

A: Given data is : Angle of elevation of a flat spire as 15∘ from a point on horizontal ground. He…

Q: Find the reference angle of 35 degrees

A: Let, the given angle          θ = 35°Reference angle is always the smallest angle thatwe can make…

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A: Given that, a radio tower is located 425 feet from a building and the angle of elevation to the top…

Q: Find the measure of the indicated angle to the nearest degree

A:

Q: What is the radian measure of an angle of 230º?

A: We have to calculate Radian Measure of an angle of 230°

Q: What is the radian measure of a 300º angle

A:

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

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.