SohCahToa
Cos = ?
A/H.
Sighting the top of a building, a construction worker measured the angle of elevation to be 22°. The transit is 5 feet above ground and 300 feet from the building. Find the buildings height. Round to the nearest foot.
126 feet
Find the area of a triangle having two sides of lengths 10 meters and 2 meters and an included angle of 40°. Round to the nearest sq. meter.
6.5m2
Name one of the possible formulas for the Law of Cosines.
#1 - a^2 = b^2 + c^2 - 2bc cos(A)
#2 - b^2 = a^2 + c^2 - 2ac cos(B)
#3 - c^2 = a^2 + b^2 - 2ab cos(C)
Pythagorean Theorem Formula?
a2+ b2 = c2.
Using SohCahToa solve the missing angle:
Tan(θ) = 3/2.
θ = 56.3°
A man is in a boat that is floating 130 feet from the base of an 160 foot cliff. What is the angle of depression between the cliff and the boat? Round to the nearest whole number.
θ = 51°
Solve the RIGHT triangle ABC. A=12°, b=15, and C = 90°.
B=78°, c≈15.3, a≈3.22.
What is the formula for Law of Sine?
a/Sin(A) = b/Sin(B) = c/Sin(C)
What is the Cot(θ)?
2. O/A 4. A/H
3. A/O
Use SohCahToa to find side c.
A = 26°, a = 3001.
c = 3338.9
A ladder that is 45 feet long needs to reach 34 feet up a building. What should the angle off of the vertical be?
θ = 49.1°
Write all trigonometric functions and solve the right triangle using the Pythagorean Theorem.
a = 18, b = 9, C = 90°, A = 30°.
A = 30°, B = 60°, C = 90°
a = 18, b = 9, c = 20.12
Sin(θ) = 9/20.12 Cos(θ) = 18/20.12 Tan(θ) = 9/18
Csc(θ) = 20.12/9 Sec(θ) = 20.12/18 Cot(θ) = 2
Solve triangle DEF if D = 50°, E = 14.5°, and e = 11.
D = 50° E = 14.5° F = 115.5°
d = 9.26 e = 11 f = 39.6
If the secant of a triangle equals 4/3 (Sec(4/3). Solve the sides of the Triangle. θ = 25°.
Adjacent = 3
Opposite ≈ 1.4
Hypotenuse = 4
Using SohCahToa, find the missing angle.
c = √3, a = 2, B = θ, C = 90°
θ = Undefined
A kite flies at a height of 30 feet when 55 feet of string is out. If the string is in a straight line, find the angle that it makes with the ground. Round to the nearest tenth of a degree.
θ = 33°
Little Timmy sees a bird 25 feet off of the ground at an elevation of 44.4°. What's the distance between Timmy and the bird?
Approximately 35 feet.
In order to find the distance across a wooded forest, a builder makes measurements. Use these measurements to find the distance from A to B to the nearest yard. (Law of Cosines)
b = 45 yards, a = 100 yards, and C = 70°.
Distance from A to B, (C), is ≈95 yards.
Find the area of the oblique triangle.
(Hint:1/2(b)(c)Sin(A))
A = 38°, b = 27 feet, c = 35 feet.
a ≈ 290.9 feet2
Using SohCahToa, find the missing angles and sides. Round to the nearest whole.
B = 34°, C = 90°, A = θ, c = 9, b = 5
A = 56°, B = 34°, C = 90°
a = 7, b = 5, c = 9
You are in a helicopter ride and the helicopter is ascending straight up. Your brother is standing on level ground, 200 feet away from your point of take-off. At one instant a video camera captures your angle of elevation at 31°. One minute later, the angle of elevation is 81°. How far did you travel, to the nearest foot in that minute?
1143 feet.
What is the Cot(60°) in a 30°,60°,90° triangle?
√3/3
Solve this SSA triangle using the Law of Sines (2 Solutions). Round to the nearest whole number.
A = 40°, a = 54, and b = 62.
Triangle 1: A = 40°, B = 47.6°, C = 92.4°, a = 54, b = 62, and c = 84.
Triangle 2: A = 40°, B = 132°, C = 8°, a = 54, b = 62, and c = 12.
You're skydiving and your friend is taking photos from the ground of you at an angle of 58° and your friend is 200 yards away from your landing spot. When you pull your parachute the angle is 15°. How many feet did you travel between photos?
266.4 feet