Word Problems
The angle of elevation to a nearby tree from a point on the ground is measured to be 65 degrees. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
197.29 feet
csc^2 x - cot^2 x
1
cotθ⋅sinθ
cosθ
In ΔQRS, the measure of ∠S=90°, QS = 12, RQ = 13, and SR = 5. What is the value of the tangent of ∠R to the nearest hundredth?
2.4
what is sin4 to the nearest tenth
0.9
From the observation deck of a skyscraper, Harper measures a 45-degree angle of depression to a ship in the harbor below. If the observation deck is 1145 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round answer to the nearest tenth if possible.
1145 feet
tan^2 x + 1
sec^2 x
sin0/tan0
cos0
In ΔRST, the measure of ∠T=90°, SR = 25, RT = 7, and TS = 24. What is the value of the tangent of ∠S to the nearest hundredth?
(5pi)/6
what is sin20+cos2 to the nearest tenth
0.5
Joshua is flying a kite, holding his hands a distance of 3.75 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 28 Degrees. If the string from the kite to his hand is 140 feet long, how many feet is the kite above the ground? Round answer to the nearest hundredth if possible.
69.48 feet
tan^2 0 / sec^2 0
sin^2 0
csc0/sin0
csc^2 0
In ΔOPQ, the measure of ∠Q=90°, PO = 89, QP = 80, and OQ = 39. What is the value of the cosine of ∠O to the nearest hundredth?
0.44
what does SOH COH TOA mean
SOH = Sine is Opposite over Hypotenuse · CAH = Cosine is Adjacent over Hypotenuse · TOA = Tangent is Opposite over Adjacent.
A boat is heading towards a lighthouse, whose beacon-light is 111 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 9 degrees. What is the ship’s horizontal distance from the lighthouse (and the shore)? Round answer to the nearest hundredth if possible.
700.83 feet.
tan0 / sin0
sec0
cos0*tan0
sin0
In ΔBCD, the measure of ∠D=90°, DC = 80, CB = 89, and BD = 39. What ratio represents the sine of ∠B?
80/89
what does CSC mean
cosecant
The angle of elevation to a nearby tree from a point on the ground is measured to be 45 degrees. How tall is the tree if the point on the ground is 79 feet from the tree? Round to nearest hundredth if possible
79 Feet
cot0 / csc0
cos0
Simplify
csc^2 0 * sin^2 0
Answer:
1
In ΔMNO, the measure of ∠O=90°, NM = 25, ON = 24, and MO = 7. What ratio represents the cosine of ∠M?
7/25
How many functions of an angle commonly are used in trigonometry?
6 (Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc)).