Well, using a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse, you need to square 39 and 36. Then your equation should look like a^2 +1296 = 1521, then solve for a^2, getting the variable by itself, so you have a^2 = 225. Then take the square root of both sides leaving you with a= 15. So, the ladder must be placed 15 feet from the base of the house.
30ft
10.9 [11]
This describes a right triangle. This triangle has a base (X ) of 3 ft, a opposite side ( Y) of 9 ft. So, you are looking for the hypothenuse. Use the Pythagoreum theory. In this case. Your ladder length is called H. H^2 = X^2 + Y^2 H = sqrt X^2 + Y^2
If it's enough to be classified as a tornado, it will damage your house. Generally, winds in excess of 60 mph are considered sufficient to cause visible damage, though at this point it will be superficial unless a tree falls on ths house.
Process of Measuring Horizontal Angles Using a Theodolite 1. Setting up the Theodolite: This includes mounting the theodolite on a tripod and making sure it is comfortable for the user. 2. Unlock the upper horizontal clamp. 3. Rotate the theodolite until the arrow in the upper or lower rough sight points to the feature of interest and lock the clamp. 4. Look through the main eyepiece and use the upper horizontal adjuster to align the vertical lines on the feature of interest. 5. The reading is taken by looking through the small eyepiece. Using the minutes and seconds adjuster set the one of the degrees on the horizontal scale so the single vertical line on the bottom scale is between the double vertical lines under the selected degree. 6. The reading is the degree which has been aligned and the minutes and seconds read from the right hand scale and is the horizontal angle from the reference line. Process of Measuring Vertical Angles Using a Theodolite Process of Measuring Vertical Angles 1. Setting up the Theodolite: This includes mounting the theodolite on a tripod and making sure it is comfortable for the user. 2. Unlock the vertical clamp and tilt the eyepiece until the point of interest is aligned on the horizontal lines. Lock the clamp in place. 3. Looking through the small eyepiece, use the minutes and seconds adjuster to align one of the degrees on the vertical scale with the double lines just below it. 4. The reading is the degree that has been aligned and the minutes and seconds is read from the right hand scale. 5. To complete the reading, it may be necessary to measure the distance from the theodolite to the point of interest. The above is al true, but doesn't discuss the practical uses of a theodolite. For example, if you want to know the height of the top of the gable on a house, you could use a theodolite. First, set up the theodolite (btw, I made one with a piece of copper tube, a protractor and a cheap wooden tripod) as noted above, make sure the ground is pretty level between the house and the theodolite, and then measure the distance from the vertical side of the house to the theodolite. (You may choose to move the theodolite so that the distance is the square of a whole number.) Then aim the scope (tube) at the upper-most point of the gable and note the degree of angle on the protractor. If you have pretty level ground between the theodolite and the house, the angle at the intersection of the side of the house and the ground should be 90 degrees. So, now we have two angles (the 90 degrees at the intersection of the side of the house and the ground, and whatever angle you recorded at the theodolite) and a side (the distance from the house to the theodolite). With this information, you can calculate the third angle and the other two sides, one of which will be the hypotenuse and the other will be -- tada! -- the final leg, which will tell you the height of the point you picked out at the top of the gable.
They Don't
The slope is 4 (no units), and the ladder is 16.492 feet long. (rounded)
It can be any angle that is more than zero degrees and less than 90 degrees. <><><> It will be an ACUTE angle, and if the ladder is placed properly (1 ft out for each 4 ft up) the angle between wall and ladder will be ABOUT 18 degrees.
No. since the ladder must be on an angle it must have room so that the length of the ladder is equal to the 282 + (distance between bottom of ladder and house)2.
No. since the ladder must be on an angle it must have room so that the length of the ladder is equal to the 282 + (distance between bottom of ladder and house)2.
Round the base angle to 70 degrees and use the sine ratio: 30*sine 70 degrees = 28.19077862 feet Height of ladder from the ground = 28 feet to 2 s.f.
10.9 [11]
It appears to be a question that involves Pythagoras' theorem of a right angle triangle whereas the dotted line represents the hypotenuse and without any relevant information the height of the ladder from the ground can't be worked out.
13.6 feet
13.6 feet
The bottom of the ladder is 14 feet from the house and the ladder is an 18 foot ladder that reaches to the top of the house. The question is how tall is the wall of the house? I reworded it to show some assumptions I made about what you are asking.If these are not true, let me knowSo the ladder, the wall of the house and the distance from the ground to the house form a right triangle with hypotenuse 18 and base 14.Now, 142 +x2 =182where x is the height of the wall.Solving for x we find x=(Square root (324-196)=Square root 228since 228 is 4x57 the answer is2(square root (57)57 is 3 x19 so it won't help to simplify it more.
You lean a ladder that reaches to the top of a house. You want to measure how tall the house is, but you can't measure it. The base of the ladder is 6 feet away from the house and the ladder is 26 feet long. How tall is the house?
It is: 25*cosine(65) = 10.565 feet rounded