Tutors Answer Your Questions about Pythagorean-theorem (FREE)
Question 1103196: A landscape designer is designing a garden with three features: a sundial, a birdbath, and a rosebush. The sundial is due east of the birdbath; the rosebush is due south of the birdbath. The sundial is three times as far from the rosebush as it is from the birdbath. The distance between the rosebush and birdbath is 13.5 feet.
Click here to see answer by stanbon(75887)  |
Question 1103672: construction workers are digging a hole for a swimming pool. they want to know to check that the angle they have dug is 90. the diagonal of the rectangle is also the hypotenuse of a right angle triangle. is the angle 90? Explain.
Click here to see answer by ikleyn(52781)  |
Question 1106179: I am trying to use the pythagorean theorem on right triangles. We are supposed to do the theorem and end up with an answer in the format so it’s not a decimal (xsquare root sign y). I tried this problem and ended up with 277, and when trying to reduce it, failed. The triangle has a leg (9) and another leg (14). I did a^2 + b^2 =c^2 and just couldn’t get it. Please help!
Click here to see answer by greenestamps(13200)  |
Question 1106179: I am trying to use the pythagorean theorem on right triangles. We are supposed to do the theorem and end up with an answer in the format so it’s not a decimal (xsquare root sign y). I tried this problem and ended up with 277, and when trying to reduce it, failed. The triangle has a leg (9) and another leg (14). I did a^2 + b^2 =c^2 and just couldn’t get it. Please help!
Click here to see answer by ikleyn(52781) |
Question 1106199: How far up a wall will a 25 foot long ladder reach if the bottom must be at least 6 feet from the bottom of the wall? What will be the slope of the ladder if the bottom is 6 feet from the wall? What angle will the ladder make with the ground?
Click here to see answer by KMST(5328)  |
Question 1106429: A small airplane at an altitude of 5000 feet is flying East at 300 feet per second, and you are watching it with a small telescope as it passes directly overhead. Refer to the figure above.
a. What is the slope of the telescope 5, 10, and 20 seconds after the plane passes overhead?
b. What is the slope of the telescope t seconds after the plane passes overhead?
c. After it passes overhead, is the slope of the telescope increasing, decreasing, or staying the same?
Click here to see answer by josgarithmetic(39617) |
Question 1106640: Scientists can estimate the depth of craters on the moon by studying the lengths of their shadows in the craters. Shadows' lengths can be estimated by measuring them on photographs. Find the depth of a crater to the nearest meter if the shadow is estimated to be 400m long and the angle of the line of sight from the end of the shadow on the bottom of the crater to the top edge is 30 degrees.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1106969: Hello. I need help solving this Pythagorean theorem question that I'm trying to solve.
The length of the longer leg of a right triangle is 2 ft longer than the length of the shorter leg X. The hypotenuse is 2 ft shorter than twice the length of the shorter leg. Write an equation in terms of X that represents the given relationship. Solve the equation to find the dimensions of each given shape.
Click here to see answer by josgarithmetic(39617) |
Question 1109461: In an army navigation exercise, a group of soldiers hiked due south from base camp for 2.5 km to a water hole. From there, they turned 45° to the left, to head south-east for 1.6 km to a resting point. When the soldiers were at the resting point, how far (correct to one decimal place):
a) east were they from the water hole?
b) south were they from the water hole?
c) were they in a straight line from base camp?
Click here to see answer by Theo(13342)  |
Question 1110890: One of the most impressive of the Mayan pyramids is El Castillo in the Yucatan of Mexico. The pyramid has a platform on the top and a flight of 91 steps on each of the four sides. (Four flights of 91 steps make 364 steps in all. With the top platform adding a level, there are 365 levels to represent the 365 days of the Mayan year.) What is the height to the nearest centimeter of the top platform if each of the 91 steps is 30 cm deep by 26 cm high? What is the angle of ascent to the nearest degree?
Click here to see answer by addingup(3677)  |
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