Point Grab Questions
In the regular square pyramid below, slant height PA = 35, and side of the base YR = 42. Find the measure of altitude PD and edge PR. (see the other side for a diagram)
PR = 7√34 PD = 28
The length of altitude IB of triangle JIM is 48. If JI = 50 and BM = 64, then find the perimeter of JIM.
208
FInd z. hint: look at the angles and think about what's not drown that might be nice to have... (See other side for a diagram)
12√15
Find the perimeter of trapezoid JMOP in exact radical form. (see the other side for a diagram)
14 √ 5 + 14 √ 15+ 30
Find the height, to the nearest foot, of the the taller cliff in the diagram below, if the cliffs are perpendicular to the ground and they are separated by a river that is 117 ft wide. The angles of elevation and depression are indicated in the diagram below. (see the other side for a diagram)
256ft
In the right triangle ABC, the hypotenuse AC = 99,999,999 inches and leg AB = 77,777,777 inches. Find the length of BC in exact form.
44,444,444√2
Find x (see other side for a diagram and the next card )
4√42
A 12 foot ladder is resting against a building at at 30 degree angle. How far way from the building must the base of the ladder be moved so that the angle where the ladder touches the ground is a 45. degree angle?
6√2 - 6 ft
Solve the following. Do not use decimal values from the tables! Use the exact values that are determined in the unit triangles. (see the other side for a diagram)
9/5
Using the distance formula and the pythagorean theorem, determine what kind of triangle (scalene, isosceles, equilateral AND right, obtuse, acute) is formed by connecting points A(2,3) B(2,-2) and C (8,-2).
Scalene, right
In the figure below, find x to the nearest foot. (see the other side for a diagram )
about 34 ft
Find the measure of a face diagonal of the cube and the edge of the cube if the measure of the diagonal of the cube is 12√6 yards. (see other side for a diagram
edge = 12√2 yrds face diagonal = 24 yrds
The ______ are the two sides in a right triangle that are not opposite the right angle.
legs
Find the measures of the angles of the triangle to the nearest degree if the sides measure 32, 60, and 68.
mB =about 61.9275 degrees mC = about 28.0725
A submarine travels an evasive course, trying to outrun a destroyer. It travels 1 km north, then 1 km west, then 1 km north, then 1 km west, and so forth, until it has traveled a total of 41 km. how many kilometers is the sub from the point at which it started?
ps.... this is a very bad evasive course... very predictable
A triangle has sides that measure 15, 36, 39. Find the sine, cosine and tangent of the smallest angle in fractional form.
sin = 5/13 cos = 12/13 tan = 5/12
In an isosceles right triangle, if the hypotenuse has length z root 2, then each leg has length ___?
z
