A car passes through an intersection traveling East at 60 miles per hour. A camera is positioned 3 miles South of the intersection, tracking the car. How quickly is the angle of the camera changing when the car is 6 miles East of the intersec- tion?

Q: An observer found the angle of elevation at the top of the tree to be 27 degrees. After moving 10 m…

A: Given:     To determine: length of AB

Q: A rope is attached to the bottom of a hot-air balloon that is floating above a flat field. If the…

A: Given: The angle of elevation of the balloon is 65°, and the rate of pulling of rope is 5 ft /s.…

Q: An airplane took off from an airport and traveled at a constant rate and angle of elevation. When…

A:

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A:

Q: A man 5 ft tall casts a shadow of 5 ft on the ground. Find the angle of elevation of the sun?

A: given height of a man is 5ftShadow of 5ft on the groundfind the angle of elevation of the sun?

Q: A woman standing on a cliff is watching a motor boat as the boat approaches the shoreline directly…

A:

Q: What is the value of missing angle “?”

A: To find: ∠G

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A:

Q: A train track through a mountain is 2400 feet long and makes an angle of 1.5° with the horizontal.…

A:

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A:

Q: A railway train is travelling on a curve of 1500 mt radius at the rate of 66 kph. Through what angle…

A:

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 shell, fired from ground level at an elevation angle of 45 ◦ , hits the ground 24,500 m away.…

A: Given: The shell was fired from the ground at an elevation of θ=45°. Horizontal distance from the…

Q: The index of refraction of light in passing from a vacuuminto dense flint glass is 1.66. If the…

A: The index of refraction of light in passing from a vacuum into dense flint glass is 1.66 and  the…

Q: An airplane climbs at an angle of 15 degrees with the ground . What is the ground distance it has…

A:

Q: At 10 AM on April 26,2009,a building 300 feet high casts a shadow 50 feet long.What was the angle of…

A: Given-  A building 300 feet high casts a shadow 50 feet long. To Find- The angle of the elevation of…

Q: The angle of elevation for the first hill of roller coaster is 55 degrees. If the length of the…

A: Please see the answer in Step 2

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A:

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A:

Q: An airplane traveling at 600 mph at a cruising altitude of 6.9 mi begins its descent. If the angle…

A:

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A: The line drawn from the eye of the observer to the distant point  where the observer is looking is…

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A: Given that: Angle of elevation from one point = 24°Angle of elevation from a point 1500 ft closer =…

Q: Suppose you are headed toward a plateau 68 m high. If the angle of elevation to the top of the…

A: Given : The height of a plateau is 68 m

Q: What is the angle of elevation of the sun when a 41-ft mast casts a 10 ft shadow?

A:

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A: Let the height of the mountain be "h" and the distance AD be "x" Distance from AB=1500 ft. In…

Q: A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of 155…

A: Given that Assume the lawn is circle of radiusr=30 feet. Subtended angle is θ=155° It is known that…

Q: The length of a shadow of a tree is 125 feet when the angle of elevation of the sun is 33°.…

A: The given information can be represented using a right triangle as shown in below figure.

Q: Mo is on a baseball team and hears that a ball thrown at a 45 degree angle from the ground will…

A:

Q: The base of an isosceles triangle is 8 feet long. If the altitude is 6 ft long and is increasing 3…

A: Let ABC be an isosceles triangle where x = Base angle, y = Altitude. Given: BC = 8 ft , y=6 and dydt…

Q: 10. Burj Khalifa in Dubai is the tallest building in the world, standing at 828 meters. An adjacent…

A: The solution for the above question is as shown below.

Q: Please sketch out this angle.

A: Given that we need to sketch the angle -240°. Now, The Sketch of -240° on xy- plane is as follows.

Q: A ladder 20 feet long leans against a building, forming an angle 71 degrees with the level ground.…

A:

Q: A 100 ft. ladder rests on top of a hook and ladder truck with its base 11 feet from the ground. When…

A: We know that the trigonometric ratios :  sin(x) = opposite /hypotenuse .

Q: . A 200-ft building casts a horizontal shadow of 120 ft. long. What is the angle of elevation of the…

A: Given, Height of the building = 200 ft  Length of the horizontal shadow = 120 ft  We have to find…

Q: during the afternoon, an 18 foot tall tree casts a shadow 25 feet long. What is the approximate…

A:

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A: From the given data: Let AB is the height of the mountain. C is the first point of observation and P…

Q: A woman is standing 15 meters away from a 20-meter tall building. At what angle is she looking to…

A: Given that height of building=20 meter a woman standing 15 meters away  find the angle she is…

Q: An 86 ft tall tree casts a 125 ft long shadow. What is the angle of elevation of the sun?

A:

Q: Explain how the double-angle formulas are derived.

A: sinx+y=sinxcosy+cosxsinycosx+y=cosxcosy-sinxsinytanx+y=tanx+tany1-tanxtany

Q: A ladder, 10 ft long, rests against a wall. If the bottom of the ladder slides away from the wall at…

A:

Q: A tree 5 m tall casts a shadow 8 m long. To the nearest degree, the angleof elevation of the sun is…

A: Length of tree is = 5 m length of shadow of tree = 8 m we have to find angle of elevation of the sun

Q: A 32ft ladder leans against a building so that the angle between the ground and the ladder is 81…

A:

Q: A baseball, hit 6 feet above the ground, leaves the bat at an angle of 57° and is caught by an…

A: Given: Baseball leaves the bat at an angle of 57°. horizontal distance covered by ball is 208 feet.…

Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 81∘.…

A:

Q: Two vertical poles, A and B, cast shadows on the ground with lengths of 12 and 25m respectively. If…

A: From the given problem the representative diagram is as shown below: Let the height of pole A is y…

Q: Express cosx raised to fifth power in terms of multiple angles.

A: General trigonometric formula for cosine is:  cos2n+1x=14n∑k=0n2n+1kcos2n+1-2kx Thus, substituting…

Q: The angle of depression from a window to a rock to the ground is 67.8 degrees. What is the angle of…

A:

Q: A lighthouse is located 1500 feet away from a straight beach. The beam of light coming from this…

A: Given that, The lighthouse is located 1500 feet away from the beach. Beam from the lighthouse makes…

Q: A 30-foot tall building has a shadow that is 60 feet long. What is the angle of elevation of the sun…

A: Use tan theta=opposite/adjacent

Q: A perfectly vertical tree 40 feet tall, casts a shadow on level ground that is 40 feet long. What is…

A: We have to find the angle of elevation from the tip of the shadow to the top of the tree

Exponential Growth Model

The relation that represents an exponential function is: