For each of the following right triangles,
determine the lengths of the unlabelled sides
and measures of the unlabelled angles.
If \(\sin(\theta) = \frac{5}{7}\)
and \(\theta\) is an acute angle,
what must \(\cos(\theta)\) be?
How would the answer to this question change
if \(90° \lt \theta \lt 180°?\)
Suppose that in each of the following triangles
that \(\cos(\theta) = \frac{3}{8}.\)
What must the lengths of the unlabelled sides of the triangle be?
Harriet the hiker is hiking a hill that has an incline (grade) of 17°.
If Harriet has climbed a distance of 2300′ along the incline,
how much altitude (in feet) has she gained?
The ADA requires that accessibility ramps in public spaces
have an incline of no more than 4.75°.
Billy the builder is going to build a ramp up to a landing
at the entrance to courthouse that is 1′8″ off the ground.
How far out from landing does the ramp need to start?
Larry the lineman has just secured a 50′ guy-wire
from the top of an electrical pole
to the level ground away from the pole’s base.
If the wire makes a 56° angle with the ground,
how far from the pole is the wire anchored?
Suppose that in each of the following triangles
that \(\cos(\theta) = \frac{3}{8}.\)
What must the lengths of the unlabelled sides of the triangle be?