Math Problem Statement

In this cuboid, work out the angle AGD. Answer to the nearest °. In this triangular prism, work out the length BF. Answer to 1 d.p. or better. In this square-based pyramid, work out the angle AVE. Answer to the nearest °.

Solution

It seems you’ve uploaded an image that involves solving geometric problems involving 3D shapes. Here’s a breakdown of the three questions:

  1. Angle AGD in the cuboid: You need to calculate the angle between two lines in a cuboid.
  2. Length of BF in the triangular prism: This is a length measurement in a triangular prism, likely involving Pythagoras' theorem or cosine rule.
  3. Angle AVE in the square-based pyramid: You need to calculate the angle between two lines within a square pyramid.

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Math Problem Analysis

Mathematical Concepts

3D Geometry
Trigonometry
Pythagoras' Theorem
Angle Calculation

Formulas

Cosine Rule
Pythagorean Theorem

Theorems

Angle Between Two Lines in 3D

Suitable Grade Level

Grades 9-12

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