Length of longer leg = 9.4 tan 60 = 16.28 feet
Length of hypotenuse = 9.4 ÷ cos 60 = 18.8 feet
Perimeter of triangle = 9.4 + 16.28 + 18.8 = 44.48 feet
In effect, you have a right-angled triangle with an adjacent angle of 41.3o and an opposite side of 114 feet. There are several ways to find the length of the string (which in effect is the hypotenuse of the triangle), but in this case, the quickest way is to use the sine ratio. For any right-angled triangle: sin angle = opposite/hypotenuse. Rearranging the equation: hypotenuse = opposite/sin angle hypotenuse = 114/sin 41.3o hypotenuse = 172.7268362 feet. Therefore, the string is 173 feet in length correct to the nearest foot.
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 the wall is straight and the ground level then this is an outline of a right angle-triangle. If the top of the ladder makes an angle of 530 with the wall then the bottom of the ladder must make 370 to the ground. Use the sine ratio to find the length of the ladder (which will be the hypotenuse) sin = opp/hyp rearranged to hyp = opp/sin hyp = 15/sin370 = 24.92460212 feet So the length of the ladder is 25 feet correct to the nearest foot.
To find the total descent, subtract the final elevation from the starting elevation. The climber starts at 533 feet and descends to 10 feet below sea level, which is -10 feet. The calculation is 533 - (-10) = 533 + 10 = 543 feet. Therefore, she descended 543 feet.
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!
Find the area of an equilateral triangle if its perimeter is 18 ft
12
An equilateral triangle that has a perimeter of 57 feet has three equal sides of 19 feet.
Perimeter of which geometry (square, circle, rectangle, triangle, ...)
4 feet
The shorter leg is 9 feet long
The shorter leg is 6 feet long
52+52+52 156
The isosceles triangle has a perimeter of: 14+14+9 = 37 feet
Perimeter = 3*8 = 24 feet
Just add together the length of the sides to get the perimeter. If the shape is 5 feet by 5 feet by 8 feet, just add together the sides: 5 + 5 + 8 = 18 feet.
Short leg is 6 feet.