| Topic | Problem | Solution |
|---|---|---|
| None | Khan Academy Slope-int What is the slope of \( y=… | Identify the equation's form as \(y = m x + b \) |
| None | A flagpole $95.8 \mathrm{ft}$ tall is on the top … | Given that the height of the flagpole is 95.8 ft, the angle of elevation to the top of the flagpole… |
| None | A ship is sailing east. At one point, the bearing… | Set up a coordinate system with the initial position of the ship at the origin. The bearing of the … |
| None | Find the area of the triangle $A B C$. \[ a=105.9… | Given the sides of the triangle as: \(a = 105.9 m\), \(b = 89.8 m\), and \(c = 100.6 m\). |
| None | Solve the triangle. \[ B=72^{\circ} 51^{\prime}, … | We are given two sides and an included angle of a triangle. We can use the Law of Cosines to find t… |
| None | Determine the remaining sides and angles of the t… | We are given that in triangle ABC, \(A=120.65^{\circ}\), \(C=33.28^{\circ}\), and \(c=100\). |
| None | A parallelogram has sides of length $12.7 \mathrm… | We are given a parallelogram with sides of length \(12.7 \mathrm{~cm}\) and \(14.2 \mathrm{~cm}\), … |
| None | A triangular swimming pool measures $44 \mathrm{f… | We are given a triangular swimming pool with one side measuring 44 ft, another side measuring 32.4 … |
| None | Solve the triangle. \[ \mathrm{a}=8.208 \text { i… | We are given two sides and an included angle of a triangle. We can use the Law of Cosines to find t… |
| None | To measure the distance through a mountain for a … | We are given a triangle ABC with AC = 3800m, BC = 3200m, and ∠C = 57°. We are asked to find the len… |
| None | A plane flies 1.7 hours at $110 \mathrm{mph}$ on … | First, calculate the distance the plane flew in each leg of its journey. This can be done by multip… |
| None | To find the distance between a point $X$ and an i… | We are given that the length of line segment XY is 962 meters, the angle XYZ is 35 degrees, and the… |
| None | Use an appropriate area formula to find the area … | Given the sides of the triangle as a = 16 m, b = 9 m, and c = 23 m. |
| None | Apply the law of sines to the following: $a=\sqrt… | We are given that the sides of the triangle are \(a = \sqrt{5}\), \(c = 2 \sqrt{5}\), and the angle… |
| None | Solve the triangle $A B C$, if the triangle exist… | We are given two sides and an included angle of a triangle. We can use the Law of Sines to find the… |
| None | Find the midpoint of a line segment with the give… | Given the endpoints of a line segment are (3,1) and (5,3). |
| None | Find the unknown angles in triangle $A B C$ for t… | Given that we know the angle C and the sides b and c, we can first find the angle B using the formu… |
| None | Find the unknown angles in triangle $A B C$ for e… | We are given one angle and two sides of a triangle. We can use the Law of Sines to find the other a… |
| None | A balloonist is directly above a straight road 1.… | Let's denote the distance to the balloon from the closer town as \(d_1\) and the height of the ball… |
| None | Determine the remaining sides and angles of the t… | We are given the lengths of sides a and b, and the measures of angles A, B, and C. We are asked to … |
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