Interactive practice questions
Consider the given triangle.
A triangle with vertices labeled A, B, and C is presented. Vertex A is at the top, vertex B is on the lower left, and vertex C is on the lower right. The side opposite vertex A is labeled with the length of 18 units. The angle ABC at vertex B is labeled as 63 degrees, and the angle ACB at vertex C is labeled as 88 degrees, opposite to this angle is side AB labeled with lowercase letter '$c$c'.
First, find the value of $\angle BAC$∠BAC.
Find the length of $c$c.
Round your answer to two decimal places.
A triangle has sides of length $13$13 cm, $15$15 cm and $5$5 cm. The largest angle has a size of $x$x$^{\circ}$∘. Calculate $x$x.
Round your answer to the nearest degree.
Consider the following diagram:
A radio signal is sent from a transmitter at tower T, via a satellite S, to a town W, as shown in the diagram. The town is $526$526 km from the transmitter tower. The signal is sent out from the transmitter tower at an angle of $18^\circ$18° , and the town receives the signal at an angle of $26^\circ$26°.
Calculate the height of the satellite above the ground.