A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 78°. A guy wire is to be attached to the top of the tower and to the ground, 167 yd downhill from the base of the tower. The angle formed by the guy wire is 8*. Find the length of the cable required for the guy wire. 167 yd 78° NOTE: The picture is NOT drawn to scale. length of guy-wire = yd

Q: A ship's sonar finds that the angle of depression to a wreck on the bottom of the ocean is 12.5º. If…

A: Here, A is the position of ship's sonar and C is the position of wreck. We need to calculate the…

Q: A roofline shows a span of 12 feet across a sloped roof, and this span is accompanied by a 2-foot…

A: Given figure:

Q: A 7-ft ladder leans against the side of a house. How far is the bottom of the ladder from the house…

A: Applying trigonometric ratios in the triangle

Q: E. From the top of a 250 ft lighthouse, then angle of depression to a ship in the ocean is 18. How…

A:

Q: Find the angle of depression from point A to point C. A 66° 5 mi B Angle of depression = [? ]°

A:

Q: The angle of depression from the top of a tower to a boulder on the ground is 60°. If the tower is…

A:

Q: From the top a 18.2 m cliff, the angle of depression of a floating buoy is 26 0 . Determine, correct…

A: Let AB be the cliff and A be the top of the cliff.Height of the cliff=18.2 mLet C be the floating…

Q: Find the measurement of the angle indicated for each trapezoid. 1) M 120°

A: The solution is :

Q: The base of the ladder in the figure is a = 7 ft from the building, and the angle formed by the…

A:

Q: The angle of depression from the top of a flag stick to a golf ball on the ground is 24°. If the…

A: Angle depression = 24°∠ P C A = ∠ C A B = 24°

Q: 2) Calculate how far from the base of the tower Zachary placed the ladder. (hint: Youll need the top…

A: Topic:- geometry and trigonometry

Q: Find the measure of angle B. Show your work, and round your answer to 2 decimal places. 45 A 31

A: To find: The measure of angle B. Given: The length of AB of the triangle is 45. The length of AC of…

Q: The 150-foot-long string of a kite you are flying is being pulled taut by the wind and makes an…

A:

Q: One end of a ramp is raised and set on the back of a truck. The back of the truck is 1 meter off the…

A: sin X = perpendicular/ hypotenuse

Q: A zip line is a steel cable to which a harness is attached. A person wearing the harness slides…

A:

Q: From the observation deck of the lighthouse at Sasquatch Point 55 feet above the surface of Lake…

A:

Q: = 12  ft from the building, and the angle formed by the ladder and the ground is 80°. How high up…

A:

Q: 13. 24 ft 12 ft

A:

Q: The angle at the vertex of a cone is measured using a 30mm diameter coin as shown in the figure…

A:

Q: 1. A ladder is leaning against a 3.4 m tall building at an angle of elevation of 50°. Determine the…

A: use sin theta formula to determine the length of ladder.

Q: A building 50 ft tall is on a hillside. A surveyor at a point on the hill observes that the angle of…

A: BT be the height of the building which is equal to 50 ft. BT=BO+OT……i

Q: A plane ascends at a 28° angle. When it reaches an altitude of 250 feet, how much ground distance…

A:

Q: From the top of a 72-m lighthouse, the angle of depression to a ship in the ocean is 21°. How far is…

A: Given the top of a 72 m and the angle of depression to a ship in the ocean is 21°. We have to find…

Q: A ladder measuring 2.38 m in length is leaning against a wall. If the angle the ladder makes with…

A: In a right angled triangle, the sine of an angle(other than the right angle) is equal to the ratio…

Q: A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle 0…

A: Given query is to find the speed of the truck.

Q: From the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far…

A: Given query is to find the distance of the ship from the light house.

Q: A central angle on a circle measures 135◦ and has a diameter of 7cm. Find the following values: (a)…

A: Length of arc is d2θ where d is diameter and θ is angle in radians:  d2θ=72135180×π       =2.625π cm

Q: 10. To measure the height of a flagpole, Charlene found that the angle of elevation to the top is…

A: Consider the height of the flagpole is BC. The distance AB=24.7 ft and m∠A=32∘

Q: From the top of a cliff that is 70 m in height, the angle of depression of a sailboat on a lake is…

A: Solution: The objective is to find the distance from the base of the cliff to the sailboat.

Q: The angle at the vertex of a cone is measured using a 30mm diameter coin as shown in the figure…

A: To determine the angle

Q: Above one room of a house the 24 ft 10 t rafters meet as shown. What is the measure of the angle a…

A: A triangle with side lengths given.

Q: The horizontal distance on a survev map from the top edge of a riverbank to the river is 85 feet…

A:

Q: The base of the ladder in the figure is a = 10 ft from the building, and the angle formed by the…

A:

Q: A building 180 feet tall casts a 100 foot long shadow. If a person looks down from the top of the…

A:

Q: The base of the ladder in the figure is  a = 10  ft from the building, and the angle formed by the…

A:

Q: The angle of elevation from the bottom of the ski lift to the top of the mountain is 62°. If the…

A:

Q: In building a garage onto his house, Gene wants to use a sloped 12-ft roof to cover an expanse that…

A:

Q: The angle of elevation from a ship to the top of a 48m lighthouse on the shore measures 27 degrees.…

A:

Q: Please explain the solution in a clear manner, step by step.

A: We have to find measure of angle A in degree.Where AC and BC are measured in feet and inches .sides…

Q: A 12 meter ladder is inclined against a brick wall at an angle of 15°. If the top of the ladder…

A: To find the height of wall at which ladder reaches. We will use trigonometric ratio We know  that…

Q: A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle 0…

A: 1:To find the speed of truck in feet per second 2: to find the speed of truck in miles per hour

Q: From the top of a 200 foot lighthouse, the angle of depression to a ship in the ocean is 13°. How…

A: Answer and explanation is given below..

Q: I do not understand how to do this problem. How do you find the speed from the angle?

A: Given,

Q: Henrey is painting a house. He placed a 24 foot ladder 15 feet away from the base of the house so…

A:

Q: Benjamin has a laddere that is 15 ft long. He wants to lean the ladder against a vertical wall so…

A: NOTE: Refresh your page if you can't see any equations. . here we have a=13.8 L=15

Q: The base of the ladder in the figure is a = 4 ft from the building, and the angle formed by the…

A:

Q: Find the measure of angle A in degrees. Round your answer to 1 decimal place, if necessary. 213

A:

Q: 230° A

A:

Q: 12. 10.5 ft 8.0 ft

A: We can calculate this by finding third side by Pythagoras theorem and then calculate angle in degree…

Q: The Great Pyramid of Cheops at Giza in Egypt has a square base of side length 230m. The angle of…

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.