A hiker, who is 6 feet tall, is standing on the ground looking up to the top of a tree with an angle of elevation of θ = 44∘ . The situation is represented where the base of the triangle is the eye level of the hiker and the vertical side, b, is the height of the tree. The distance from the hiker's eye to the top of the tree is 53 feet. Based on the dimensions given, what is the total height, in feet, of the tree? Round to one decimal place.

Q: Nico is resting on a 3m high tree house and watching the top of a pole 5m from the tree. if the…

A:

Q: The radius of a wheel rolling on the ground is 80 centimeters. If the wheel rotates through an angle…

A: Given that the wheel is rotated by an angle of 60°We know that i°=π180 and∴60°=60xπ180rad=π3rad

Q: A woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

A:

Q: A man who is 70 inches tall casts a shadow of 105 inches. Assuming that the man is standing…

A: Proceed as shown below

Q: You are standing 25 feet away from a building. Given that you are 5.7 feet tall, you find the angle…

A: You are standing 25 feet away from a building. Given that you are 5.7 feet tall, you find the angle…

Q: A man lies 18 horizontal feet from the base of a wall. He must incline his eyes at an angle of 21…

A: It is given that,  A man lies 18 horizontal feet from the base of a wall. He must incline his eyes…

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

A:

Q: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the…

A: Given that An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50°…

Q: rio is standing on top of a building and notices a turtle walking towards the building. He notices…

A: Topic = Trigonometric ratios Height of the building is 240 feets.

Q: A man is 550 feet from the base of a very tall building. The building is standing on a large flat…

A: We sketch the situation roughly. Let the height of the building is = h feet

Q: You are standing on top of a cliff 500 ft. above the ocean looking out at the water.  You see a…

A: tanθ=oppositeadjacentIn this question, opposite is the height and adjacent is the base

Q: King Kong stands on the edge of the roof of a 68 foot high building. You poke your head out of a…

A: Given the height of a buliding which is 68 ft high and a king kong which stands on the edge of roof.

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:

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.