Two poles of equal heights are standing opposite to each other on either side of the road, which is 120 feet wide. From a point between them on the road, the angles of elevation of the top of the poles are \( 60^{\circ} \) and \( 30^{\circ} \) respectively. Find the height of the poles and the distances of the point from the poles.
Added by Judy P.
Close
Step 1
Let the distance from the point on the road to the pole with a \( 60^\circ \) angle of elevation be \( x \). Therefore, the distance to the other pole (with a \( 30^\circ \) angle of elevation) is \( 120 - x \). Show more…
Show all steps
Your feedback will help us improve your experience
Tyna Senecal and 100 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Two towers A and B are placed at a distance of 728 m apart horizontally. The height of A is 40 m and that of B is 30 m. At what distance vertically above the ground will the intersection of the lines forming the angles of elevation of the two towers are observed from the bases of towers A and B respectively
Donna D.
The angle of elevation of the top of a vertical pole as seen from a point 10 metres away from the pole is double its angle of elevation as seen from a point 70 metres from the pole. Find the height (to the nearest tenth of a metre) of the pole above the level of the observer's eyes.
Triangle Trigonometry
Right triangles and trigonometric functions of acute angles
From a point on level ground between two power poles of the same height, cables are stretched to the top of each pole. One cable is $52.6 \mathrm{ft}$ long, the other is $67.5 \mathrm{ft}$ long, and the angle of intersection between the two cables is $125^{\circ}$ Find the distance between the poles.
Oblique Triangles and Vectors
Applications
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD