SOHCAHTOA
Solve the triangle in the picture, write answers to the nearest tenth.
a=15.6, b=33.2, angle B = 62 degrees
Use the appropriate law to solve the following triangle.
Angle C = 40, a = 32.97, b = 13.99
The area of triangle ABC is 45 square units. If a=10 and b=15. Find the measure of angle C to the nearest tenth.
Angle C = 36.9 degrees
Fill out the following standard normal distribution complete with z-scores and percentages based on the 69-95-99.7 rule.
Ms. Fibert will check
In the following picture find the missing sides using right triangle trig. Give answers in radical form.
15/root 3 or 5 times root 3 is opp 30
30/root 3 or 10 times root 3 is opp 90
A ladder that is 30 ft long needs to reach 27 ft up a building. What should the angle off of the vertical be? Give your answer to the nearest tenth of a degree.
64.2 degrees
Use the appropriate law to solve the following triangle.
angle B = 40.5, angle A = 27.5, a = 4.98
Find the area of the following Parallelogram.
A = 726.6 units squared
The track coach wanted to know who he should give the most valuable player award to at the last track meet. The runners were normally distributed with a mean of 8 and a standard deviation of 2. Tim ran the race in 6.5 minutes. The long jump was normally distributed with a mean of 6ft and a standard deviation of 1.5ft, and Elena had a jump of 8ft. Who should the award go to, and explain why or show work to support your claim.
Elena wins, she has a z-score of +1.33 compared to Tim's z-score of -0.75, Tim would need to be at a z-score lower than -1.33 to be the better track person in this case.
Farmer Fred had a square field with sides of 525 feet. He wants to build a fence down one diagonal of the field to separate it into two equal parts. How many feet of fencing will he need to purchase? Use special right triangles to show your solution, he must buy fencing in integer amounts of feet, so give an answer that will give him enough fencing to the nearest whole number.
He needs 743 feet of fencing.
In the following picture, find y to the nearest tenth.
112.5
Use the appropriate law or laws to find ZN in the following picture.
ZN = 5
In the following picture, find the measure of angle ADB and angle C to the nearest degree, given that angle ADB is greater than angle C.
Angle ADB = 122 degrees, Angle C = 58 degrees
If the z-score is 2.5 and the standard deviation is 4, and you scored a 72, what was the average score on the test?
62 was the average test score
The altitude of an equilateral triangle is 12 m, Find the perimeter and area of the triangle, leave your answer in radical form.
P = 72/root 3 or 24 times root 3
A = 144/root 3 or 48 times root 3
When the sun is 74 degrees above the horizon, a flagpole casts a shadow of 8.5 m onto a horizontal ground. Find the shadow cast by the sun when it falls to 62 degrees above the horizontal.
15.8 meters
How many triangles are possible if, a=62, b=53, and angle B is 54 degrees? Solve for the missing angles and sides of the triangle(s) formed using these measurements.
Angle A =71 or 109
Angle C = 55 or 17
c = 53.7 or 19.2
A symmetrical roof has dimensions as shown in the diagram. Find an expression for FM.
FM = square root ((b-c)squared + h squared)
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that you score above 120. Write your answer as the interval of all possible solutions.
The probability would have to be higher than 2.5% and lower than 16%.
Find the exact value of x in the following triangle
5+5 times root 3
A ship leaves Old port traveling NW and travels for 16km, it then moves to N68W and travels another 22km. What is the ships new bearing and how far away from port is it? (use right triangle trig)
About N58W and 37 km away
Use the diagram to follow and find the angle between the plane ADGF and ABCD.
about 26.6 degrees
Find the area of the following circle.
1639.5 units squared
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Given your score was in the 38th percentile. Find the interval of values you must have scored between.
You must have scored higher than 85, but lower than 100.
Find the exact value of the length of x.
x=4