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Core Connections Integrated II, 2015 View details

2. Section 6.2

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Exercise 77 Page 348

Use the sine ratio.

Angle: ≈ 61^(∘)
Diagram: See solution.

Practice makes perfect

If we label the angle the ladder makes with the ground θ, we can draw the following diagram.

The ladder, the side of the house, and the ground make a right triangle. Since we have been given the hypotenuse and opposite leg to to the given angle, we have to use the sine ratio to determine the angle. sinθ=Opposite/Hypotenuse Let's substitute the given measurements into the equation and solve for θ.

sinθ=Opposite/Hypotenuse

SubstituteValues

Substitute values

sin θ=7/8

▼

Solve for θ

sin^(-1)(LHS) = sin^(-1)(RHS)

θ=sin^(- 1)7/8

UseCalc

Use a calculator

θ=61.04497...^(∘)

RoundInt