Angle + triangle - practice problems
Number of problems found: 912
- The reflection law
AB is a mirror, PQ is the incident ray, and QR is the reflected ray. If angle PQR = 112°, find angle PQA.
- The angles 4
The angles of a triangle are divided into the ratio 126: 213: 312. If the three angles sum to 180°, find the size of each of the three angles.
- Angles sum 180
In triangle ABC, the measure of ∠A is 30°, and the measure of ∠C is 90°. What is the measure of ∠B?
- Three angles
The three angles of a triangle are (3x-2)°, (4x+5)°, and (2x-3)°, then find the angles.
- For triangle
For triangle XYZ, ∠X = (6g + 14)° and the exterior angle to ∠X measures (5g + 45)°. Find the measure of ∠X and its exterior angle.
- The angles 5
The angles of a triangle are in arithmetic progression (AP). The greatest angle is twice the least. Find all the angles.
- Know one angle
In a right-angled triangle, the measure of an angle is 40°. Find the measure of other angles of the triangle in degrees.
- Angles - triangle
Find the measure of the angles of the triangle ABC if: the measure of angle A is the measure of angle C and the measure of angle B =½ of the measure of angle C.
- The supplement
The supplement of an angle is four times its complement. Find the angle.
- EE school boarding
Three vectors, A, B, and C, are related as follows: A/C = 2 at 120 deg, A + B = -5 + j15, C = conjugate of B. Find C.
- Cplx sixth power
Let z = 2 - sqrt(3i). Find z6 and express your answer in rectangular form. if z = 2 - 2sqrt(3 i) then r = |z| = sqrt(2 ^ 2 + (- 2sqrt(3)) ^ 2) = sqrt(16) = 4 and theta = tan -2√3/2=-π/3
- An isosceles triangle
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 18 inches, and the length of the base is 15 in
- The angles 6
If the angles of a triangle are in the ratio 2 : 3: 4. Find the value of each angle.
- Angle of elevation
The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is 30°. If the angle of elevation at the same point is to be 45°, then the pillar has to be raised to a height of how many meters?
- A radio antenna
Avanti is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 21 meters from the building. The angle of elevation from her eyes to the roof (point A) is 42°, and the angle of elevation from
- Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ.
- Triangle 90
Triangle made by 6 cm 4.5 cm and 7.5 cm. what angles does it make?
- Tower + pole
On the horizontal plane, there is a vertical tower with a flag pole on its top. At a point 9 m away from the foot if the tower, the angle of elevation of the top and bottom of the flag pole are 60°and 30° respectively. Find the height of the flag pole.
- An electrician 7
An electrician has to repair an electric fault on a pole 4 meters in height. He needs to reach a point 1 m below the top. What should be the length of the ladder that he could use, when inclined at an angle 60° to the horizontal?
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