Finding an Angle Using another Angle Introduction,Examples with Step-by-Step Explanations

The problems about Finding an Angle Using another Angle

Topic	Problem	Solution
None	Problems 1 through 14 refer to right triangle $A …	Given a right triangle $△ A B C$ with $∠ C = 90^{\circ}$ , $a = 16 cm$ , and \…
None	Bookwork code: $2 C$ Calculator allowed …	Given that the length of the ladder (hypotenuse) is $5.3 m$ and the distance from the w…
None	Determine the remaining sides and angles of the t…	Given that $A = {28.05}^{\circ}$ , $B = {22.13}^{\circ}$ , and $c = 15.14 m$ , we can first find the third angle…
None	Find an angle in each quadrant with a common refe…	Given the angle $θ = 296^{\circ}$ , which is in the fourth quadrant.
None	A boat is heading towards a lighthouse, where Jax…	Given that the height from Jaxson to the water is 103 feet, the angle of depression to the boat at …
None	Find the measure of the complement and the supple…	Define the given angle as $35^{\circ}$ .
None	3. In $△ A B C$ , if $c=8.5 \mathrm{~cm}, …	We are given a triangle ABC with side lengths c = 8.5 cm, b = 7 cm, and angle A = 52 degrees.
None	Two sides and an angle are given below. Determine…	Given the sides and angle of a triangle as $b = 10$ , $c = 7$ , and $B = 120^{\circ}$ .
None	Solve the triangle. \[ a=22.5 \quad b=15.9 \quad …	We are given the lengths of all three sides of a triangle and asked to find the measures of the ang…
None	Give the degree measure of $θ$ if it exists.…	The arctan function is the inverse of the tangent function. It returns the angle whose tangent is t…
None	A river is $90 m$ wide and flows East $…	The river is 90 m wide and flows East (90°) at 1.6 m/s. A ferry, which travels at 2.6 m/s in still …
None	d) A $15 m$ pole is leaning against a w…	We have a right triangle with the pole as the hypotenuse, the distance from the wall as one leg, an…
None	7. In $\triangle A B C, \angle C=90^{\circ}, a=21…	Given a right triangle $△ A B C$ with $∠ C = 90^{\circ}$ , $a = 21.4 cm$ , and $c = …
None	\[ \begin{array}{\|c\|c\|c\|} \hline K & C & A \ \hl…	Given a triangle with sides K = 9, C = 7, and A = 10, we need to find the angles of the triangle.
None	Name: ID: A 40. Thomas used a 2.6-m-long ramp to …	Let $x$ be the angle between the ramp and the ground. We can use the cosine formula to find the a…
None	A boat is heading towards a lighthouse, whose bea…	Let the distance from point A to the lighthouse be $x$ and the distance from point B to the lightho…
None	Find the size of angle $t$ . Give your answer in d…	$\cos t = \cos {(\frac{180 t}{π})}^{\circ}$
None	Task 2: Measuring A Tall Object Far Away Ms Doerk…	Form two right triangles with the bridge's height as the opposite side and the distance from the br…
None	6. Deux édifices, A et $B$ , sont séparées par une…	Form two right triangles using the angles of depression and the distance between the buildings.
None	In $△ MNO, m = 89$ inches, $n = 30$ …	Using the Law of Cosines: $89^{2} = 30^{2} + 71^{2} - 2 (30) (71) \cos (M)$
None	A $5.7 m$ long ladder is leaning agains…	Use the Pythagorean theorem to find the height of the ladder on the wall: $b^{2} = c^{2} - a^{2}$ , wher…
None	Bo is flying a kite, holding his hands a distance…	Find the height of the kite above Bo's hand using sine function: height_above_hand = \(\sin(29^\cir…
None	In $\triangle \mathrm{PQR}, p=99 \mathrm{~cm}, r=…	Use the Law of Cosines to find the length of side q: $q = \sqrt{p^{2} + r^{2} - 2 p r \cos R}$
None	27) An airplane is flying at a height of 2 miles …	Given: opposite = 2, adjacent = 5
None	$\sin 32^{\circ} = \cos x$	$\sin 32^{\circ} = \cos x$
None	From his eye, which stands 1.63 meters above the …	$t a n (17^{\circ}) = \frac{h - 1.63}{294}$
None	Julian wants to use a sheet of fiberboard 19 inch…	Step 1: Convert the angle to radians: $α = \frac{16 π}{180}$ radians