Angles of Elevation Word Problems

If the angle of elevation of peak A from peak B is 29^o, calculate the value of y.

HINT: USE SIN, COS OR TAN TO ANSWER THIS QUESTION BASED OFF OF THE ANGLE YOU ARE GIVEN IN RELATION TO THE SIDES OF THE TRIANGLE THAT YOU ARE GIVEN.

• 24.01

• 26.24

• 31.24

• 36.49

The height of the building is 100 ft and the angle of elevation from point A is 41 degrees. Using this information, find the distance from the point at which the person is standing at Point A to the building.

• 83 feet

• 185 feet

• 115 feet

• 100 feet

• 234 feet

• 
• 

Amanda and Jamie are standing 30 feet apart and spot a bird in the sky between them. The angle of elevation from Amanda to the bird is 50 degrees, and from Jamie to the bird is 60 degrees. How far away, to 2 decimal places, is the bird from Amanda? (a)  

• 33.92 ft

• 27.65 ft

• 24.46 ft

• 36.80 ft

At point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48^𝑜 . Find the height of the tree.

• 45.02 ft

• 55.53 ft

• 50.2 ft

• 48.14 ft

• 
• 

If his boat is closer to the cliff by 50m, find the angle of elevation from his boat to the top of the cliff now. Write your answer to the nearest degree.

• 20.15 ft

• 22.67 feet

• 25.63 feet

• 15.36 feet