A smokestack is 190 feet high. A guy wire must be fastened to the stack 30 feet from the top. The guy wire makes an angle of 40° with the ground. Find the length of the guy wire rounded to the nearest foot.

Q: In the evening, a tree that stands 12 ft tall casts a long shadow. If the angle of depression from…

A: Since, it is given that in the evening a 12 ft tall tree cast a long shadow,Also, it is given that…

Q: A cable from the top of a 100 foot telephone tower makes a 50° angle with the ground. How long is…

A:

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 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: Length of the support post = 20foot Angle between ground and support post = 70° sinθ =…

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 103-foot wire is used to support a utility tower. It runs from the tower to ground and forms a 24…

A: We have  the utility tower with unknown height, the wire makes an angle 24∘ with ground runs to the…

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: A person standing 234 feet from the base of a church observed the angle of elevatlon to the church's…

A:

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground If the bottom of…

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: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: Find the angle that an 18-foot ladder leaning against a wall makes with the ground if the bottom of…

A: Here use we have to use trigonometric ratio to find the angle required.

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

A: Given: -

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: sin theta=opposite/hypotenuse

Q: From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far…

A: Given that, From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is…

Q: The Seattle Space Needle casts a 67-meter shadow. If the angle of elevation from the tip of the…

A: Given: The angle of elevation from the tip of the 67-m shadow to the top of the Space Needle is 70°.

Q: From the observation deck of a skyscraper, Deion measures a 48° angle of depression to a ship in the…

A: Topic = Trigonometric ratios

Q: simon is due north of a tall totem pole and walks 75m, 40° west of south. From his new position, the…

A:

Q: A telephone company is building a 30-foot antenna to carry cell phone transmissions. As shown in the…

A:

Q: A 45 inch wood plank leans against the side of a building so that the angle between the ground and…

A: Topic = Trigonometric ratios  44.83 inches high the wood plank reach up to the side of the building.…

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

A:

Q: A geodetic engineer is 80 meters from the base of a dam. The angle of elevation to the top of the…

A:

Q: An escalator at a shopping center is 200 ft 9 in. (2409 in.) long, and rises at an angle of 15°.…

A: We have to find

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 28-foot long piece of wire is attached to the top of a pole at one end and nailed to the ground at…

A: Wire length = 28 foot Angle = 30°

Q: A mop is inclined against the wall, creating a 40 degree angle, along the floor. How far does the…

A:

Q: 53

A: Here we find the missing angle.

Q: A person standing 388 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: A radio transmission tower is 205 feet high. How long should a guy wire be if it is to be attached…

A: A radio transmission tower is 205 feet high . We find how long should a guy wire be if it is to be…

Q: From the top of a 213-ft lighthouse, the angle of depression to a shop in the ocean is 17°.  How far…

A:

Q: A 600-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of…

A: A 600-ft guy wire is attached to the top of a communications tower and the angle made by the wire…

Q: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

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 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: We will use formula of sin(x) to solve this.

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

A: given: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. we have…

Q: A billboard, 54 feet wide, is prependicular to a staright road and is 18 feet from the nearest point…

A:

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 bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

A:

Q: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

A: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

Q: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

A: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

Q: A 25 foot flagpole casts a 42 foot shadow. What is the angle that the sun hits the flagpole? to 25…

A: We use Trigonometry ratios

Q: an airplane door is 19 feet off the ground and the ramp has a 31 degree angle of elevation. what is…

A: given,

Q: From the observation deck of a skyscraper, Bashir measures a 45° angle of depression to a ship in…

A: From the observation deck of a skyscraper, Bashir measures a 45° angle of depression to a ship in…

Q: From a point on the ground 100 m from the foot of a cliff, the angle ofelevation of the top of the…

A: Given that from a point on the ground 100m from the foot of a cliff, the angle ofelevation of the…

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 sprinkler on a golf course fairway is set to spray water over a distance of 70 feet and rotates…

A: Given, sprinkler rotates through an angle 48o and sprays water over a distance of 70 feet.

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.