A line from the top of a cliff to the ground passes just over the top of a pole 5 ft high. It meets the ground at a point 8 ft from the base of the pole. The point is 93 ft from the base of the cliff. How high is the cliff?
Did you find an error or inaccuracy? Feel free to write us. Thank you!
Thank you for submitting an example text correction or rephasing. We will review the example in a short time and work on the publish it.
Tips for related online calculators
You need to know the following knowledge to solve this word math problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- A flagpole
A flagpole is leaning at an angle of 107° with the ground. A string fastened to the top of the flagpole is holding up the pole. The string makes an angle of 38° with the ground, and the flagpole is 8 m long. What is the length of the string?
- A mast
The wind broke a mast 32 meters high so that its top touches the ground 16 meters from the pole. The still standing part of the mast, the broken part, and the ground form a rectangular triangle. At what height was the mast broken?
- A bridge
The bridge over the river has the shape of an arc. The bridge is 10 feet above the water at the center of the river. At 27 feet from the river's edge, the bridge is 9 feet above the water. How wide is the river?
- Vertically 7853
The storm broke the vertically growing spruce at 8 meters above the ground. The top fell to the bottom 6 meters from the spruce base. Find the original height of the spruce.
- Sand castle
Tim and Tom built a sand castle and embellished it with a flag. Half the pole with the flag plunged into the castle. The highest point of the pole was 80 cm above the ground, and its lowest point was 20 cm above the ground. How high was the sand castle?
- Broken tree
The tree was 35 meters high. The tree broke at the height of 10 m above the ground. Top, but does not fall off. It is refuted on the ground. How far from the base of the tree lay its peak?
- Position 19113
The column is fixed in a vertical position by 3 ropes, which are caught at the height of 3 m above the ground. The other ends of the ropes are anchored to the ground at a distance of 4 m from the base of the column. How much rope was used to secure the po
The height of the pole before the storm is 10 m. After a storm, when they check it, they see that the ground from the pole blows part of the column. The distance from the pole is 3 meters. At how high was the pole broken? (In fact, the pole created a rect
- Perpendicular 28823
Points A(1,2), B(4,-2) and C(3,-2) are given. Find the parametric equations of the line that: a) It passes through point C and is parallel to the line AB, b) It passes through point C and is perpendicular to line AB.
The vertical pole high 8 m tall broke, and its toe fell 2.7 m from the bottom of the pole. At what height above the ground does the pole break?
Line p passes through A[5, -3] and has a direction vector v=(2, 3). Is point B[3, -6] on the line p?
- Power line pole
From point A, the power pole is visible at an angle of 18 degrees. From place B, which we reach if we go from place A 30m towards the pillar at an angle of 10 degrees. Find the height of the power pole.
The train passes part of the line for 95 minutes at a speed of 75 km/h. What speed would you have to go to shorten the driving time of 20 minutes?
Darnell is mountain climbing with Kirk and has just climbed a 9-meter vertical rock face. Kirk is standing at the bottom of the cliff, looking up at Darnell. If Kirk is 15 meters away from Darnell, how far away from the cliff is Kirk standing?
Write an equation of a line parallel to To 9x + 3y = 8 That Passes Through The Point (-1, -4). Write in form ax+by=c.
- Function 3
Function f(x)=a(x-r)(x-s) the graph of the function has x-intercept at (-4, 0) and (2, 0) and passes through the point (-2,-8). Find constant a, r, s.
- Right triangle from axes
A line segment has its ends on the coordinate axes and forms a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment?