Question bank: Right Triangle: Metric Relationships

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Question 1:

Easy

In an engineering project, a right triangle is formed by a steel cable, the base of a tower, and the ground. The base of the tower measures 12 meters and the steel cable, which is tensioned to the top of the tower, forms a 60-degree angle with the ground. Determine the height of the tower and the amount of steel cable needed, considering that the tangent of 60 degrees is approximately 1.73.

Right Triangle: Metric Relationships

Theorical Question

Contextualized Question

Question 2:

Medium

Right Triangle: Metric Relationships

Question 3:

Medium

On a windy day, João flew a kite that formed a right angle with the ground. The kite string, which was fully stretched, measures 15 meters and forms a 60° angle with the ground. Considering this situation and knowing that the metric relations in a right triangle are based on similarity relations, what is the distance of João's kite to the ground and what is the horizontal distance the kite is from the point where João flew it?

Right Triangle: Metric Relationships

Question 4:

Medium

Imagine you are building a ramp in the shape of a right triangle to facilitate access for people with reduced mobility to a building. The height of the highest step is 1.5 meters and you were instructed to build the ramp with a 30° incline relative to the ground.

Right Triangle: Metric Relationships

Question 5:

Easy

The value of the height x is:

Right Triangle: Metric Relationships

Basic Calculus

IARA TIP

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