Given the following information provided, it is 19.5 meters away from the tower.
. The angle of depression of the top and bottom of a tower as seen from the top of a 100m high cliff are 300 and 600 respectively. Find the height of the tower.?
yes
I'm unable to draw diagrams. However, you can visualize the scenario with the tower standing vertically. One side of the triangle represents the tower (115m) and the other side the anchor point on the ground (24m). The guy wire forms the hypotenuse of the right triangle. The angle between the tower and the ground is formed by the guy wire.
Missing information. If you drew a right triangle with the airplane at the top of the short side, the base would be the 4 miles on the ground. That angle would be the 29 degree angle. So what are you looking for?
The slant which lies between the ground and the slope of the Leaning Tower of Pisa.
The current angle of the tower is about 3.97 degrees.
The tower is actually now fairly stable after many decades of restoration and engineering, but continues to lean at an angle. When the first three floors of the tower were built, it was found the tower was sinking into the ground on one side. Construction was halted for almost a century, which allowed the ground to settle and later support four more levels.
A guy wire attached to a tower 181 feet from the base (190 - 9) and making an angle of 21 degrees with respect to the ground is 505 feet long. sin (21) = 181 / x x = 181 / sin (21) Note: An angle of 21 degrees with respect to the ground is unrealistic. It is probably more correct to say 21 degrees with respect to the tower, which is 69 degrees with respect to the ground. In this case, the guy wire is 194 feet long.
Well, darling, you've got yourself a right triangle situation here. Using some good ol' trigonometry, you can solve for the height of the tower. The tangent of 75 degrees is equal to the height of the tower divided by the distance from the base to the point where the guy wire touches the ground. So, the height of the tower is approximately 209 feet. Voilà!
Consider the following ._ . . . , ______ . , / . , / . , / . ______________/ Dotted line is to the top of the tower, and has an 18 degree angle with the ground Comma line is to the bottom of the tower, and has a 15 degree angle with the ground Visualize the two triangle that exist here: ._ . | . | . , | . , | . , | . , | . _________________| In both cases, the base of the triangle is 200 ft. The height of the dotted triangle is given as sin(18) * 200 = 61.80 The height of the comma triangle is given as sin(15) * 200 = 51.76 The top of the tower is represented by the dotted triangle, so it is 61.80ft above our observation point The bottom of the tower is represented by the comma triangle, so it is 51.76ft above our observation point. The height of the tower is the difference between these heights. 61.80 - 51.76 = 10.04ft The tower is a massive 10ft tall!
Suppose the distance is x.Then tan(25) = x/149 m so that x = 149*tan(25) metres = 69 metres, approx.
hehe erects