Pythagorean Theorem
What is the Pythagorean theorem?
a^2 + b^2 = c^2
How do you find the hypotenuse of a 45-45-90 triangle?
Multiply the leg by sqrt(2)
What acronym can we use to remember how to find our trig ratios?
SOH CAH TOA
When do you use the three inverse trig functions?
To find a missing _________
Angle
One leg of a right triangle is 7 in. The hypotenuse is 25 in. What is the length of the other leg? Include units with your answer.
24 inches
How do you find the short leg of a 30-60-90 triangle when you are given the long leg?
Divide by the sqrt(3)
Find cos A.
15/17
Find the value of x rounded to the nearest degree.
44 degrees
The legs of a right triangle are 8 and 7 units. What is the length of the hypotenuse in simplified radical form?
sqrt(113) units
The hypotenuse of an isosceles right triangle is 6. What are the lengths of the legs? Leave your answer exact in simplified radical form.
3*sqrt(2)
Find the value of x rounded to the nearest tenth.
71.2
Find x to the nearest degree.
22 degrees
The lengths of the sides of a triangle are below. Classify the triangle as acute, right, or obtuse.
sqrt(5), 3, sqrt(7)
Acute
The hypotenuse of a 30-60-90 triangle is 18*sqrt(2). What are the lengths of the legs?
short leg: 9*sqrt(2)
long leg: 9*sqrt(6)
Which of the following trig functions has a ratio of 4/5?
A. sin B
B. cos A
C. tan B
D. sin A
D
A 20 ft ladder is propped against a vertical wall. The top end is 16 feet above the ground. What is the measure of the angle formed by the ladder with the ground? Round to the nearest whole degree.
53 degrees
The hypotenuse of a right triangle is 10 cm. The leg is 5 cm. What is the length of the other leg? Leave your answer in simplified radical form.
5*sqrt(3)
The area of a square plate is 36 square inches. What is the length of the diagonal across the plate? Leave your answer exact.
6*sqrt(2) inches
You are standing at the base of a ski hill. You know that the ski hill is 400 m long and has an angle of elevation of 40 degrees. What is the length of the vertical drop of the sledding run? Round your answer to the nearest tenth of a meter. Include units in your answer.
257.1 m
A person sees a bird at a horizontal distance of 50 feet. The person is 5.5 feet tall. The bird is 72 feet above the ground. What is the angle of elevation of the person's sight line? Round to the nearest degree.
53 degrees