Suppose your angle of elevation to the top of a water tower is 78°. If the water tower is 145 ft tall, how far are you standing from the water tower?

Q: A man observes that the angle of elevation of the top of a tower from a certain point on level…

A: Given: A man observes that the angle of elevation of the top of a tower from a certain point on…

Q: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A: Trigonometry is a branch of mathematics that studies relationships between side lengths and angles…

Q: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

Q: A ship sailing parallel to shore sights a lighthouse at an angle of 20° from its direction of…

A: Given a ship sailing parallel to shore sighta lighthouse at an angle of 20°

Q: A man wants to know the height of the tower. What he did was from point A on the ground he observed…

A: A man wants to know the height of the tower. What he did was from point A on the ground he…

Q: Jim is looking up at a tree at an angle of elevation of 60°. If Jim is standing 72 feet away from…

A: use the formula by the trigonometric ratio for finding the height of the tree.

Q: A 6-foot-tall worker stands 40 feet away from a crumbling tower. The angle of elevation to the top…

A:

Q: A surveyor observes that the angle between the road and the bottom of a bridge girder is 30 degrees.…

A: Given data is : Angle θ=30∘ Bridge clearance is 16.5 feet. To find the horizontal distance from the…

Q: A surveyor in an airplane travelling east sees a lake in front of her. The angle of depression to…

A:

Q: Two trains leave a station at the same time on straight sections of track which form   an angle of…

A:

Q: General Sherman, a tree located in Sequoia Park stands 275 feet tall. To see the top of the tree,…

A: Solving the following problem

Q: The angle of depression from a helicopter to a car is 56°. If the helicopter is 600 m above the…

A: Given  The angle of depression from a helicopter to a car = 56 degree The helicopter is 600 m above…

Q: At a distance of 1000 miles from a tower, the angle of elevation to the top of the building is 36°.…

A: Consider the given information. Make the graph from the given information.

Q: A loading ramp is extended from the back of a truck to form a 30° angle with the ground. The truck…

A: the length of the ramp is xx feet angle with the ground=30°

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.