39. Find the angle of depression from the top of a lighthouse 275 feet above water to a boat 1,324 feet off shore.

Q: 4. Tom measures the angle of elevation of the peak of a mountain at 35⁰, Susie, who is 1200ft closer…

A:

Q: The top of the lighthouse is observed from point M at 25.53 angle of elevation and sirmultaneously…

A:

Q: . At what angle must be a 5 meters ladder leans on a wall 4.5 meters high to reach its topmost? 2.…

A:

Q: 22. An airplane approaches the runway at an 18 degree angle. If the airplane is 1000 ft away from…

A: Given query is to find the height of the height of the plane.

Q: 7. Aflashlight was focuses on the mirror forming an angle 80°. The length of the light from the…

A:

Q: . A hiker (1.7 m tall) measures her distance to the foot of a Sequoia tree to be 25 meters. She also…

A: In our question given that a hilker measure her distance to be 25 meter. She also measures the angle…

Q: 1. Two buildings are 60 apart from each other. How high is the taller building if the smaller has…

A:

Q: 15. Max built a skateboarding ramp that is 16 inches high. The angle formed by the ramp and the…

A: Here we use trigonometry to find length of ramp.

Q: 19. A man is standing 12 ft. from a sculpture. The angle from her eye to the top of the sculpture is…

A:

Q: The basket of a hot-air balloon is 300 ft high. The pilot of the balloon observes a stadium 2200 ft…

A: We can represent again this problem

Q: This is using Cosine Law. Two pirate ships, A and B, lie 125m apart on the ocean's surface. There…

A:

Q: diagram

A:

Q: A line CD is 50 mm long. Endpoints C & D are 20 mm above HP. Endpoint C is 15 mm in-front of VP. The…

A: Draw the projections and trace of the line for quadrant 1 only. First sketch the HP and VP.

Q: 3. From the top of a cliff, 108m high, the angle of depression to a boat on the water is 8°.…

A: The angle of depression denotes the angle from the horizontal, downward to an object that is located…

Q: Estimate the error made in calcutating the area of the triangle ABC in which the sides a and b are…

A: Given: sides a= 25 cm and b= 16 cm  Angle C =60°=60°π180°=π3 Error in angle C is ∂c=12°×π180°=π360

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: 4. Two light spotted the same mark on the tower, the mark was 35 ft. from the ground. The forst…

A: Given problem:- Two light spotted the same mark on the tower, the mark was 35 ft. from the ground.…

Q: 9. A water sprinkler shoots out water for 20 feet and turns an angle of 150 Degrees. Draw the…

A: as per given information construct circle as below:

Q: 4. The angle at B 12'-0" A 16' - 0" B D 16'-0" 16'-0" C

A: The length we used for finding the angle at B AD DC BD As we know that

Q: For the first minute of flight, a hot air balloon ascends vertically at a constant rate of 3 meters…

A: Blank #1: For the first minute, the balloon ascends vertically. The ascending rate = 3 m/s after…

Q: A wheelchair ramp that is 40-feet long has a vertical increase of 4 feet. What angle does the ramp…

A:

Q: Kara is standing on the edge of a 15-foot high diving board. Her friend, Sierra, is treading water…

A:

Q: 4.) The distance across a circular swimming pool is 56.68 ft. What is the distance from the edge of…

A:

Q: From the top of a tower 36 m high, the angles of depression of the top and bottom of another tower…

A: We have to use properties of right angle triangle to solve the problem. For right angle triangle we…

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.