Problem preview

G-SRT.8 Warmup M2-053-A12-V02

Use trig ratios and the Pythagorean Theorem to solve right triangles in applied problems.

Choose the correct method for a right-triangle problem: trig ratio, inverse trig, Pythagorean Theorem, or insufficient information

Problem

A right triangle has \(\text{one}~\text{known}~\text{acute}~\text{angle}\) and \(\text{one}~\text{known}~\text{side}\), and another side length is required. State the direct solution method and explain how a sine, cosine, or tangent equation connects the known and unknown sides.

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inverse trigonometry

insufficient information

Pythagorean Theorem

Use a trigonometric ratio. Label the known and unknown sides relative to the acute angle, choose sine, cosine, or tangent that contains those two side roles, and solve that equation for the unknown side.

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Curriculum context

Course: Math II
Standard: G-SRT.8
Category: Geometry
Domain: Similarity, Right Triangles, and Trigonometry
Objective: Use trig ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Problem type: Choose the correct method for a right-triangle problem: trig ratio, inverse trig, Pythagorean Theorem, or insufficient information