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From the top of a building 60 ft high, the angle of elevation of a top of vertical pole is 14°. At the bottom of the building, the angle of elevation of the top of a pole is 28°. Find the height of the pole.
112.97
There are two traffic lights with a distance of 2.4 km on a road. You are driving on another parallel road. At a given time you see the bearing of one traffic is N 64° W and another one is N 75° W. What is the distance of the two roads?
1.43 km
Triangle ALR, a = 7cm, l = 5cm and r = 3cm. What is angle R?
21.78 degrees
Triangle JET, m J = 1200, e =cm and t = 5cm. Find the measurement of j.
7.8 cm
In any triangle, the lengths of the sides are proportional to the sines of the angle measures opposite them.
Sine Law
The square of one side of a triangle is equal to the sum of the squares of the two other sides minus twice the product of these two sides.
Cosine Law
Neil sees a rocket at an angle of elevation of 11 degrees. If Neil is located at 5 miles from the rocket launch pad, how high is the rocket?
0.97 miles
A ramp is pulled out of the back of truck. There is a 38 degrees angle between the ramp and the pavement. If the distance from the end of the ramp to to the back of the truck is 10 feet. How long is the ramp?
12.69
A hiker is hiking up a 12 degrees slope. If he hikes at a constant rate of 3 mph, how much altitude does he gain in 5 hours of hiking?
3.12 m
A 10m ladder leans against the wall of a house 6m from the ground. If the ladder slides up 2m on the wall, how far is the foot of the ladder from the wall? What is the appropriate function can be used to solve this problem?
Pythagorean Theorem
A 10m ladder leans against the wall of a house 6m from the ground. If the ladder slides up 2m on the wall, how far is the foot of the ladder from the wall?
6 m
A 10m ladder leans against the wall of a house 6m from the ground. How far is the foot of the ladder from the wall?
8 m
How far is Jane’s mansion from the market?
500/tan 51 degrees
How far is Jane’s mansion from the school?
500/cos 35 degrees
Jane’s Mansion (H) is situated near the church(C), school (S) and market (M) as shown in the figure. How far is Jane’s mansion from the church?
500 tan 35 degrees
If the hypotenuse is part of the problem then it is either a sine or ________.
Cosine Ratio
A right triangle can be solved when i. an acute angle and a side are known ii. two sides are known iii. two angles are known
i and ii only
If the two legs of the triangle are part of the problem, then it is a _____________.
Tangent Ratio
The angle from the horizontal to the line of sight of the observer to the object above.
Angle of Elevation
What is the sum of the angles of triangle WXY?
180 degrees
What is the measure of angle W?
55 degrees
What is the measure of the hypotenuse?
48.81 cm
Determine XW = ____________.
19.60 cm
In right triangle JKL, j = 18.50cm and l = 14.20cm, find k.
23.32 cm
In right triangle CDO, o = 16cm and c = 8cm, what is angle O?
63.43 degrees
In the figure, find the value of x.
10 cm
In right triangle RST, s = 15cm and t = 9cm, what is r?
12 cm
In right triangle BAY, If angle B = 750 and a = 18cm, find y.
5 cm
Triangle MNO is right – angled at N. If angle O = 420 and o = 10cm, find n.
15 cm
In right triangle MNO, n = 23 and m = 17 what is o?
15.49
In right triangle MNO, n = 23 and m = 17 what is angle O?
42 degrees
In a right triangle MAD, A = 900, MA = 12 cm and AD = 5 cm, what is cot M?
12/5
In a right triangle MAD, A = 900, MA = 12 cm and AD = 5 cm, what is cos D?
5/13
In a right triangle ABE, B = 900 and tan A = 6/8, what is cot A?
8/6
If sin θ = 4/5, what is tan θ?
4/3
The reciprocal of cosecant function is _____
Sine
What is cot M?
a/m
What is tan A?
a/m
Determine cos A
m/t
What is sec M?
t/a
In a right triangle, what is the ratio of the hypotenuse to the adjacent side?
Secant
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