The angle of elevation from a boat to the top of a lighthouse is 50°. If the boat is 150 feet from the base of the lighthouse, how tall is the lighthouse? Round answer to the nearest foot. A 96 179 C 115 126

The angle of elevation from a boat to the top of a lighthouse is 50°. If the boat is 150 feet from the base of the lighthouse, how tall is the lighthouse? Round answer to the nearest foot. A 96 179 C 115 126

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter2: Right Triangle Trigonometry

Section2.4: Applications

Problem 58PS: If the angle of elevation to the sun is 74.3 when a flagpole casts a shadow of 22.5 feet, what is...

See similar textbooks

Related questions

Q: A 300 m cable is attached to the top of an antenna. The angle of elevation to the top of the antenna…

A: x=?

Q: * From a balloon 990 feet high, the angle of depression to the ranger headquarters is 60 57'. How…

A: Let position of headquarters is O, position of balloon is B and position of point which is directly…

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 11 degrees…

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 17 degrees…

A: Angle of elevation is the angle from the horizontal upward to an object. Here angle of elevation to…

Q: A tree casts a 60-foot shado wwhen the angle of elevation of the sun (measured from the horizontal)…

A: A tree casts a 60-foot shadow when the angle of elevation of the sun (measured from the horizontal)…

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

Q: The angle of elevation of the sun has a measure of 66 degrees. A flagpole casts a shadow 15 feet…

Q: From the top of a 230-meter-tall building, an observer measures the angle of depression of a bicycle…

Q: A mine shaft is 300 m deep and makes an angle of 65° with the How long is the shaft? Round answer to…

Q: A surveyor finds the angle of elevation to the top of a building to be 75°. He is 20 meters from the…

A: In a right angled triangle:- Tan X = Perpendicular/Base

Q: An 85 ft. tree casts a shadow that is 147 ft. long. What is the angle of elevation of the sun? O 30°…

A: Topic:- geometry and trigonometry

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 11 degrees…

A: Solve for the height of the building

Q: The angle of elevation from a boat to the top of a lighthouse is 50°. If the boat is 150 feet from…

Q: 13. The tallest church tower in the Netherlands is the Dom Tower in Utrecht. If the angle of…

A: This question is based on Trignometric ratios.

Q: The angle of elevation from a boat to the top of the lighthouse is 25°. The lighthouse is 150 feet…

A: BC

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 16 degrees…

A: Topic :- Trigonometric ratios Height of the building = 313 meters

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 13 degrees…

Q: To find the height of a pole, a surveyor moves 140 feet away from the base of the pole and then,…

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: h -- --

Q: . Standing on top of a 30-ft lifeguard tower, an observer measures the angle of elevation of a…

A: We will be using the formula of tangent at the given triangles to find the height (h) of the…

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 15 degrees…

A: Given: To find: x, the height of the building.

Q: A radio tower is located 250 feet from a building. From a window in the building, a person…

A: topic - application of trigonometry

Q: The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat is 532 feet…

A: This question is from trigonometry.

Q: building

A: Given A cell tower is 150 feet tall. Its signal hits the ground at 60–degree angle. Here the…

Q: From a balloon 905 feet high, the angle of depression to the ranger headquarters is 80°32'. How far…

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

Q: What is the reference angle for the left side of the triangle? 94° 30° 40 ft.

A: Given that there is a tree. We have to find reference angle and hight of tree.

Q: surveyor measures the height of an ad billboard on a skyscraper by walking 45 ft. away from the…

Q: From a boat on the river below a dam, the angle of elevation to the top of the dam is 14°57'. If the…

Q: An airplane climbs at an angle of 32° with the ground. What is the distance it has traveled in the…

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

Q: The angle of depression of a television tower to a point on the ground 36.0 meters from the bottom…

A: Solve it.

Q: A ship's sonar locates a treasure chest at a 12° angle of depression. A diver is lowered 40 meters…

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

Q: From a boat on the river below a dam, the angle of elevation to the top of the dam is 34°32'. If the…

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

Q: The angle of depression from the top of a cliff to a hiker below is 35°. If the cliff is 550 feet…

A: Topic:- trigonometry and algebra

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

A: Consider the given data. Calculation: Draw a rough diagram as shown below. Let the height of radio…

Q: The angle of elevation of the sun is 63°. Find the length of a shadow cast by a person who is 5 feet…

A: Here we have to use the concept of the trigonometric ratios

Q: From a boat on the lake, the angle of elevation to the top of a cliff is 12° 9'. If the base of the…

A: Angle of elevation is given as 12°9' Now, we know that 1' = 160° Therefore, 12°9' = 12+960° = 12.15°

Q: Rope 8 ft Pole 57 If the rope forms a 57° angle with the ground, what is the height of the pole, to…

A: on solving this we get the

Q: From a watch site on a ship, the angle of depression to a raft is 10 degrees. The site is 94 feet…

A: Angle of depression is 10 degreeHeight is 94 feet.

Q: building that is 280 feet tall casts a shadow 40 feet long. What is the angle of elevation of the…

Q: Abuilding 56.69 feet tall has a shadow that is 60.89 feet long. Find the angle of elevation of the…

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

Q: A mine shaft is 300 m deep and makes an angle of 65° with the ground. How long is the shaft? Round…

A: I am attaching image so that you understand each and every step.

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A: Given: Tower is located = 350 Top of the tower = 36° Bottom of tower = 34°

Q: At a point 500 miles north of a ship, the shoreline runs east and west. West of that point, the…

Question

ANGLES TRIG 2
The angle of elevation from a boat to the top of a lighthouse is 50°.
If the boat is 150 feet from the base of the lighthouse, how tall is the lighthouse?
Round answer to the nearest foot.
A
179
C
115
126

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Distance to the Sun When the moon is exactly half full, the earth, moon, and sun form a right angle see the figure. At that time the angle formed by the sun, earth, and moon is measured to be 89.85. If the distance from the earth to the moon is 240,000 mi, estimate the distance from the earth to the sun.
Distance at Sea From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 23.How far is the ship from the base of the lighthouse?
Empire State Building You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82. The total height of the building is another 123 meters above the 86th floor. What is the approximate height of the building? One of your friends is on the 86th floor. What is the distance between you and your friend?
Use three letters to name the angle shown. Also use one letter to name the same angle. Decide whether the angle measure is less than 90, equal to 90, or greater than 90.