### Problem 4: Balloon Tethered by Wires **Question:** Two wires tether a balloon to the ground, as shown. How high is the balloon above the ground? **Diagram Explanation:** In the diagram, a balloon is tethered to the ground with two wires. The points where the wires are attached to the ground are 150 feet apart from each other. The diagram forms two right triangles with the following details: - One triangle has an angle of 75° between the ground and the wire. - The other triangle has an angle of 85° between the ground and the wire. - Both triangles share a common vertical side, marked as \( h \), which represents the height of the balloon above the ground. The diagram provides a visual representation, helping to calculate the height \( h \) using trigonometric functions, such as the tangent, for the two angles given.

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.