Angle of elevation and depression worksheet 2 answer key

Description of angles of elevation and depression worksheet with answers pdf

Name: Class Date 6 4 Angle of Elevation & Depression Draw a picture to represent each situation and solve. 1. Brian's kite is flying above a field at the end of 65 m of string. If the angle of elevation

Fill & Sign Online, Print, Email, Fax, or Download

• Get Form

• eSign

• Fax

• Email

• Add Annotation

• Share

Angle Of Elevation Depression Trig Worksheet Answers is not the form you're looking for? Search for another form here.

Fill angle of elevation worksheet answer key: Try Risk Free

Video instructions and help with filling out and completing online angles of elevation and depression worksheet with answers pdf

Instructions and Help about angle of elevation and depression worksheet kuta form

Welcome everybody we've been working on trigonometry right triangle trigonometry and well triangles special right triangles and the sines and cosines and tangents that angles form the nose now we're going to switch our focus a little where we're still going to be talking about right triangle trigonometry, but we're going to be working on applications of trigonometry now we're going to have a couple different videos on this section in this one the goal is that you will solve problems involving angles of elevation and angles of depression and I want to explain what those two things mean to you right now all right, so I've got a hill right here and let's suppose that you're the person at the top of the hill, and you got a friend at the bottom of the hill and so you're looking down at your friend well the angle with which you look down in order to see your friend whether that's 20 degrees 30 degrees or whatever would be called an angle of depression because it is going down and the angle was what your friend would look back up at you with would be called an angle of elevation, but I described those things to you, I need to show you exactly how you show an angle of elevation or an angle of depression anytime you're referring to an angle of elevation or an angle of depression those angles are always in relation to a horizontal line called a horizon sometimes and so to show you the angle of depression that you would look down at your friend with what I had to do is go to your eye level and add to draw a horizontal line first and then what I'll do is I'll draw a line that goes directly from you to your friend like so and the angle of depression then is the angle between your line of sight to your friend right here and that horizon line right there and very similarly if I want to show you the angle of elevation with what your friend would be looking at you well you have to have a horizontal line in order to determine what that angle of elevation is so from your friends eye level I would draw a horizon line as well and then the angle between his Linda cider or her line-of-sight and that horizontal line would be the angle of elevation hope that makes sense to now one more quick fad if you remember back to your geometry days the relationships formed by parallel lines and angles that they form with transversal this the angle of depression and the angle of elevation between you and your friend happen to be alternate interior angles of parallel lines, and so they're always going to be congruent to one another alright just an easy fact that you should remember let's go ahead and look at some problems in involving angles of elevation and angles as depression and these are going to involve right triangles as well because we're still working with four by triangle trigonometry problem here says that an observer standing on the top of a vertical cliff spots a house in the adjacent Valley at an angle of depression of 12 degrees the cliff is 60 meters tall how far is...

Lesson Worksheet: Angles of Elevation and Depression Mathematics • Class X

In this worksheet, we will practice solving real-world problems that involve angles of elevation and depression using the tangent ratio.

Q1:

In the given diagram of a ladder leaning against a wall, which of the following angles represents the ladder’s angle of elevation?

• A∠𝐴𝐶𝐵
• B∠𝐴𝐵𝐶
• C∠𝐵𝐴𝐶

Q2:

A palm tree 10.6 meters tall is observed from a point 12 meters away on the same horizontal plane as the base of the tree. Find the angle of elevation to the top of the palm tree giving the answer to the nearest minute.

• A4833′∘
• B2757′∘
• C623′∘
• D4127′∘

Q3:

Anthony stands 40 m from a building that is 25 m high. What is the angle of elevation from Anthony to the top of the building? Round your answer to the nearest degree.

Q4:

A ladder is leaning against a vertical wall such that the top is 9 m above the ground and its base is 3 m from the bottom of the wall. Find the measure of the angle between the ladder and the ground. Give your answer to two decimal places.

Q5:

A ladder is leaning against a wall where the upper end is 4 m from the ground. The angle of inclination of the ladder to the ground is 40∘. Find the horizontal distance between the base of the ladder and the wall giving the answer to two decimal places.

Q6:

A truck traveled 1.2 km up a ramp that is inclined to the horizontal at an angle of 4918∘. Find the height at which the truck stopped, giving the answer in meters to one decimal place.

Q7:

A flag is hung 22 meters up a flagpole. As the flag is raised, the angle of elevation from a point 21 meters away from the base of the flagpole to the flag is 7 4∘. Find the increase in height of the flag giving the answer to two decimal places.

Q8:

In the given diagram, Benjamin observes a buoy in the sea below him from a point 6 ft above a 45 ft cliff. He has been told that the perpendicular distance from the buoy to the base of the cliff is 60 ft. What is the angle of depression, in degrees, from Benjamin to the buoy? Give your solutions to two decimal places.

Q9:

Daniel wants to find the height of a tower. He decides he needs to make a clinometer in order to measure the angle of elevation. He uses a straw, a protractor, some string, and a bit of Blu-Tack as a weight. Daniel stands at a perpendicular distance of 100 ft from the base of the tower and measures the angle on his clinometer to be 59∘, as seen in the diagram.

Work out the angle of elevation.

Given that Daniel’s eyeline is 6 ft from the ground, work out the height of the tower to the nearest foot.

Q10:

In the given diagram, a 15 ft ladder is leaning against a wall with an angle of elevation of 70∘. How high up the wall would it reach? Give your answer to two decimal places.

This lesson includes 64 additional questions and 261 additional question variations for subscribers.