The angle between the length AE and the base ABCD in the pyramid is approximately 19.4°.
Let's calculate the angle between the length AE and the base ABCD in the pyramid pictured below, giving your answer to 1 decimal place.
To solve this problem, we can use the inverse tangent function, also known as arctangent, which is used to find the angle whose tangent is a given number.
In this case, the tangent is the ratio of the height (3 cm) to the base (8 cm) of the right triangle formed by AE and the base ABCD.
Steps to solve:
Step 1. Find the tangent of the angle:
tan(θ) = 3 cm / 8 cm
θ = arctan(3/8)
Step 2. Calculate the angle using the inverse tangent function:
θ ≈ 19.4° (rounded to one decimal place)
The angle between the length AE and the base ABCD in the pyramid is approximately 19.4°.