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G-SRT.8 Warmup M2-053-A06-V04

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

Find a missing acute angle in a right triangle using inverse cosine

Problem

A \(13\text{-}\text{meter}\) guy wire is attached to the top of a pole and anchored to the ground \(12~\text{meters}\) from the base of the pole, forming a right triangle. Use \(\text{inverse}~\text{cosine}\) to find the acute angle the wire makes with the ground. Round to the nearest tenth of a degree.

Unworked applied triangle or vector diagram showing only the supplied quantities and target. Open full size
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Four variants of this problem type
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
Find a missing acute angle in a right triangle using inverse cosine