A piece of wire is attached from the top of a 45 foot utility pole to a stake in the ground. If the angle of elevation from the stake to the top of the pole is 39°, find the length of the wire. Round to the nearest tenth.

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

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 town of Sofia Germain has a smokestack that is 160 feet high. A guy wire must be fastened to the…

A: Given the height of a smokestack is 160 feet. And a guy wire must be fastened to the smokestack 45…

Q: a 187-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far is the se of the…

A:

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

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: 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: A radio tower is located 400 feet from a building. From a window in the building, a person…

A: for the upper triangle, use the tan function  tan36=x400 x=400tan36 x=400·0.7265425 x=290.61701

Q: A person standing 354 feet from the base of a church observed the angle of elevation to the church's…

A: A person standing 354 feet from the base of a churchThe angle of elevation to the church's steeple…

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: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

A: The objective is to find the distance of the base of the ladder from the side of the house.

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: The angle of depression from the top of a tower to a rock on the ground is 38°. If the tower is 25…

A:

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A: The angle of elevation to the top of the tower = 28° The angle of depression to the bottom of tower…

Q: If you stand 50 feet from the bottom of a movie screen and the screen is 80 feet tall, what is the…

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

Q: If you place a 18 ft. Ladder 3 ft. From the base of the wall, what is the angle measure of the…

A: The cosine of an acute angle (A) in a right angles triangle is given by:   cos(A)=Side adjacent to…

Q: The angle of elevation to the top of a building in Seattle is found to be 2.8 degrees from the…

A: Given that: Angle of elevation  = 2.8°Distance from the base = 1.5 miles

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: A tower casts a shadow that is 154 feet long when the angle of elevation to the sun is 52°. How tall…

A: We use the definition of tan of an angle heretanθ =opposite sideadjacent side

Q: If the angle of elevation from the ground to a tree is 40° from 108 feet away, how tall is the tree?

A: Let AB be the tree and C is the point on the ground. According to question, BC=108 feet and ∠C=40°.…

Q: A person is standing 32 feet away from the bottom of a tree. If the angle of elevation to the top of…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 20 feet, what…

A:

Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

Q: Draw an angle of 450 in standard position and find a point onthe terminal side.

A:

Q: A person standing 376 feet from the base of a church observed the angle of elevation to the church's…

A:

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

A:

Q: A 40 ft. guy wire is connected to a telephone pole, forming a 21° angle with the pole. How far from…

A: Consider this right angled triangle as ABC then to calculate how far from the pole is the guy wire…

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

A: We can find the answer as below

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: 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: The recommended safety angle of a ladder against a building is 78 degree. If a 10meter ladder will…

A: Let the safety height of ladder reach to building is x safety angle of ladder is 78° length of…

Q: If you have a 16-ft extension ladder, and you place it against a wall so that it has a 35-degree…

A:

Q: A guy wire is 13.8 yards long and is attached from the ground to a pole 6.7 yards above the ground.…

A: Given, A guy wire is 13.8 yards long and is attached from the ground to the pole 6.7 yards above the…

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: The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat is 532 feet…

A:

Q: A person standing 164 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: In order to meet safety guidelines, a roof contractor determines that she must place the base of her…

A: Given that a roof contractor determines that she must place the base of her ladder 4 feet away from…

Q: A radio transmission tower is 180 feet high. How long should a guy wire be if it is to be attached…

A:

Q: The windshield wiper blade on Julia's car is 21 inches long. Each swipe of the wiper makes an angle…

A: θ=lr Where l is length of arc and r is radius.

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: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

A:

Q: A 4-m beam is used to brace a wall. If the bottom of the beam is 3 m from the base of the wall, what…

A: Since a 4 m beam is used to brace a wall and given that if the bottom of the beam is 3 m from the…

Q: A person standing 239 feet from the base of a church observed the angle of elevation to the church's…

A: Angle of elevation = 44°  Distance from the base of church = 239 feet. Height of church =?

Q: From the top of a 156 foot lighthouse, the angle of depression to a ship in the ocean is 40°. How…

A:

Q: The length of a string from the center of a yo-yo to tip of Tony’s middle finger is 12 cm. If Tony…

A:

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

A:

Q: A 8-ft ladder leans against a building so that the angle between the ground and the ladder is 69 How…

A: Solve the following problem

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.