A radio tower is located 600 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 36°, and that the angle of depression to the bottom of the tower is 21°. How tall is the tower? (Round your answer to four decimal places.)

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 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: Assuming that a 330-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Solution: The objective is to determine how far from the base of the tree am I.

Q: The angle of elevation to the top of a Building in New York is found to be 9 degrees from the ground…

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: A 23-ft ladder is leaning against a building. If the base of the ladder is 8 ft from the base of the…

A:

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

A:

Q: A 25 ft ladder is leaning against a building. If the base of the ladder is 8ft from the base of the…

A:

Q: Assuming that a 370-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Draw a schematic diagram of a give question. Given data, Height of tree, AB = 370 ft C is the point…

Q: A 17-ft ladder is leaning against a building. If the base of the ladder is 7 ft from the base of the…

A:

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 63°.…

A:

Q: A man standing near a building notices that the angle of elevation to the top of the building is…

A: answer is in next step

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 65∘∘. How tall…

A: given: The angle of elevation to a nearby tree from a point on the ground is measured to be . we…

Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Here AC is ladder of length 22 ftAB is buildingBC is ground and the angle between the ladder and…

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 74°.…

A:

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

A:

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…

A:

Q: The base of the ladder in the figure is a = 5 ft from the building, and the angle formed by the…

A: Given,

Q: Assuming that a 330-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A:

Q: A 23-ft ladder is leaning against a building. If the base of the ladder is 5 ft from the base of the…

A: Since the triangle ABC is right-angled. Consider the length AC is the length of the ladder, BC is…

Q: A​ blimp, suspended in the air at a height of 600 ​feet, lies directly over a line from a sports…

A: The distance between the sports stadium is

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 73°. How tall…

A:

Q: From the top of a 167-ft lighthouse, the angle of depression to a ship in the ocean is 20°. How far…

A:

Q: From a point on the floor the angle of elevation to the top of a door is 46°, while the angle of…

A: To determine the value of x.

Q: How high up the building does the ladder touch? (Round your answer to one decimal place.)

A: Given: The base of the ladder in the figure is  a = 5 and the angle formed by the ladder and the…

Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

A:

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Given: A 19-ft ladder leans against a building so that the angle between the ground and the ladder…

Q: Assuming that a 350-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: We have, Height of redwood, P=350 foot Angle of elevation,   According to the rule of trigonometry,…

Q: A 22-ft ladder is leaning against a building. If the base of the ladder is 9 ft from the base of the…

A: This problem is based on Pythagoras theorem, which states that in a right angled triangle, the…

Q: Mr. Pratt was building a house. A ladder that is 10 ft. long is leaning against the side of a…

A: Given,

Q: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Height of the lighthous and angle of depression is given. So first draw the digram then use the…

Q: From the top of a 214-ft lighthouse, the angle of depression to a ship in the ocean is 29. How far…

A: From the top of a 214-ft light house, the angle of depression to a ship in the ocean is 29°. we have…

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 88-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: I am about 286.3505 feet away from the base of the tree.

Q: The base of the ladder in the figure is a = 9 ft from the building, and the angle formed by the…

A:

Q: From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 29°. How far…

A:

Q: Find the angle of depression from the top of a lighthouse 400 feet above water level to the water…

A:

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 64°. How tall…

A:

Q: From the top of a 237-ft lighthouse, the angle of depression to a ship in the ocean is 25°. How far…

A:

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 47°. How tall…

A: Given that angle of elevation to a nearby tree from a point on the ground is 47° and the tree is 67…

Q: Assuming that a 340-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Suppose that the person height is negligible. Since it is a right angle triangle we can apply SOH ,…

Q: A 84-ft tree casts a shadow that is 140 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: What is the angle of elevation of the sun when a 35-foot flag pole casts a 20-foot shadow? Round to…

A:

Q: At an altitude of 3,500 ft, the engine on a small plane fails. What angle of depression is needed to…

A:

Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

A: If a loading ramp is place next to truck, at a height of 8 feet and the ramp is 22 feet long To…

Q: A 26-foot long escalator is intended to carry people a height of 11 feet. During construction, at…

A:

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

A:

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 63°.…

A:

Q: Assuming that a 320-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: The height of the redwood is 320-foot. The angle of elevation made on the top of tree is 55°

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.