For this question, you ONLY use geometric mean and Pythagorean Theorem.
Given the picture to the left, solve for "x." If needed, solve for the REDUCED RADICAL; if it is a whole number, this is not needed.
\(x=√32 u\)
\(x=4√2 u\)
\(x=4√3 u\)
\(x=√48 u\)
\[m∠A = ?\] Round your answer to the nearest tenths place.
\[m∠A ≈ 58°\]
\[m∠A ≈ 59°\]
\[m∠A ≈ 58.67°\]
\[m∠A ≈ 0.90°\]
What is ∠a known as in this picture?
Angle of Elevation
Angle of Depression
Horizontal Angle
Vertical Angle
What is ∠b known as in this picture?
Find x given the information in the picture. Use reduced radicals.
\[x ≈ 12.65 u\]
\[x = \frac{4√30}{√3} u\]
\[x = 4√3 u\]
\[x = 4√10 u\]
Given that triangle ABC is AB = 13 inches and BC = 12 inches. How many inches is BC if triangle ABC is a right triangle?
7 inches
5 inches
12 inches
10 inches
Find AC and round to the nearest tenths place.
AC ≈ 9
AC ≈ 8.9
AC ≈ 8.8
AC ≈ 12
Olivia is in a lighthouse that is 85 feet tall on top of a cliff. She observes two sailboats due east of the light houses. The angles of depression to the two boats are 33° and 55°. If the cliff stands 110 feet above sea level, find the distance between the two boats. Round to the nearest hundreds place. It would probably help to draw a picture for this word problem.
126.63 feet
300.27 feet
173.64 feet
163.64 feet
Find side c. Round your answer to the nearest hundreds place.
6.02 units
6.01 units
5.76 units
5.77 units
Find the geometric mean of the following numbers: 9 and 7
3√63
3√7
63
63√3