115
The height, h, is given by the length of the ladder times the sin of the angle subtended with the ground h = 40*sin(75) = 38.64 feet
A 30ft ladder is leaning against the wall making an angle of 47 degrees with the ground. How far is the base of the ladder from the wall?
90 - 31 = 59 degree
5 meters
4
It is not a proportion. There needs to be aroubd a 75 degree angle from the ground to the base. If it is too flat the ladder can slip out from underneath you. If it is too steep you can tip back. There is usually an angle at the bottom of the ladder if that is flat on the ground then that should be the safest angle (75 degrees)
near the bottom.because the net force is equal to zero
The ladder forms a right angle with the building: the ground and the building forming the right angle and the ladder forming the hypotenuse. If the length of the ladder is L metres, then sin(49) = 12/L So L = 12/sin(49) = 15.9 = 16 metres.
43 degresses
56
90 - 31 = 59 degree
A. 11 feet B. 13 C. 12 D. 14.
93
32
It is: 24 feet by using Pythagoras' theorem
5 meters
5 meters
This answer uses trigonometry to avoid a lot of work:tangent = opposite/adjacent and tangent*adjacent (base of ladder from the building) = opposite (height of ladder above ground)So: tangent 60 degrees*3 = 5.196152423Therefore: Top of the ladder above ground = 5.2 meters correct to one decimal place.More laborious methodThe right triangle formed by the wall, ground and ladder has sides in the ratio of 1::2::sq-rt-of-3. The shortest side is the one opposite the 30 degree angle, i.e., the given distance from wall to base of the ladder--3 m.The length of the ladder represents the hypotenuse of the triangle, and is twice as long, hence 6 m.And the height of the ladder's top from the ground is proportional to the third side whose length is sq-rt-3 times that of the shortest side. Sq-rt-3 is about 1.732, so height of the ladder's top at the wall is about 5.20 m, or 520 cm.