A
FORMULA OF cosine θ
cosine θ= Adjacent / hypotenuse
OR
cos θ= Adjacent / hypotenuse
WHAT IS THE OPPOSITE OF SINE θ?
COSECANTθ OR CSCθ
A person on a tower looks down at a boat. This is an angle of…
FORMULA OF tangent θ
tan θ= OPPOSITE/ ADJACENT
FORMULA OF secant θ
Sec θ=hypotenuse/adjacent
What is the longest side of a right triangle, opposite the right angle?
hypotenuse
The area formula ½ab sin C requires which information?
A. Three angles only
B.Base and height only
C. Two sides and their included angle
D. Three side lengths only
C. Two sides and their included angle
Opposite = 9 and adjacent = 12. Find cot θ.
cot θ=1.3333
A student looks up at the top of a building. The angle measured between the horizontal line at the student's eye level and the line of sight is called the:
Angle of Elevation
0Adjacent = 12 and hypotenuse = 13. Find cos θ.
cos θ=0.9230
Find the area of a triangle with sides 7 m, 7 m, and 8 m.
A= 22.98m2
A person stands 20 m from a building. The angle of elevation to the top is 45°.How tall is the building above the person's eye level?
20m
A right triangle has a hypotenuse of 17 cm and one leg of 8 cm. Find the other leg.
15cm
Convert the true bearing 135° to a quadrantal bearing.
S 45°E
Convert the quadrantal bearing S40°E to a true bearing.
140°
Find the area when a=7 cm, b=9 cm, and C=90°. Use the trigonometric rule formula.
31.5cm2
Find the area of a triangle with sides 3 cm, 4 cm, and 5 cm. Use the Heron’s formula.
6cm2
A surveyor observes a point 12 m away horizontally from a building's base. The angle of inclination to the top is 45°. Find the building's height above the surveyor's eye level.
12m
A guy wire is attached to the top of a 9 m pole and anchored to the ground. The wire makes a 55° angle with the ground. Find the wire’s length.
sin 55° = 9/L; L = 9/sin 55° = 11.0 m
wire's length= 11.0 m
The adjacent side is 9 m and the hypotenuse is 12 m. Find θ.
θ = cos⁻¹(9/12) = 41.4°
A lighthouse is 50 m high. A boat is observed at an angle of depression of 30°. Approximately how far is the boat horizontally from the lighthouse base?
length= 86.60m
A person looks at the top of a building from 30 m away. The angle of elevation is 42°. Find the building’s height above the person’s eye level.
tan 42° = h/30; h = 30 tan 42° = 27.0 m
A 14-meter ramp forms a 12 degree angle with the ground. Find the horizontal distance covered by the ramp.
13.7m
A person on a 12 m-high roof sees a motorcycle at an angle of depression of 36° . Find the horizontal distance.
x=16.52m
A kite string forms an angle of 50 degrees with the horizontal ground. The kite is 15 m above the person's hand. Assuming the string is straight, find its length.
length= 19.6m