Question

A 12-ft ladder leaning against a house makes a 64 degree angle with the ground. Will the ladder reach a window sill that is 10.5 ft up from the base of the house?

Answer 1

Answer:

Yes, it will

Step-by-step explanation:

Given

Length of Ladder = 12 ft

Angle = 64

Required

Determine if it'll reach a height of 10.5ft from the base

See attachment for proper illustration.

From the attachment, we want to determine that x be greater than 10.5

Using sin formula:

$Sin\ 64 = \frac{x}{12}$

Multiply through by 12

$x = 12 * sin\ 64$

$x = 12 * 0.8988$

$x = 10.79$ (Approximated)

Since 10.79 is greater than 10.5, then the ladder will reach the window

sin64 = x/12

x = 12* sin64