The lengths of two sides of a triangle are 8 cm and 10 cm . Identify the range of possible lengths for the third side.

A 19-f ladder is leaning against a wall and the wall is perpendicular to the ground. The base of the ladder is 8 ft from the wall. How high above the ground is the top of the ladder? The ladder reaches (Simplify your answer. Type an exact answer, using radicals as needed.)

2. \( m=12 \) Find the measure of each exterior angle of a 15 -gon,

Complete parts a and b. a. If triangle \( A B C \) is similar to triangle \( D E F \) and \( \frac{A B}{D E}=\frac{1}{3} \), what is the ratio of the heights of the triangles? b. What is the ratio of the areas of the two triangles? a. The ratio of the height of triangle \( A B C \) to the height of triangle \( D E F \) is \( \frac{1}{8} \). (Type an integer or a simplified fraction.) b. The ratio of the area of traingle \( A B C \) to the area of triangle \( D E F \) is \( \frac{1}{64} \). (Type an integer or a simplified fraction.)

6. If \( m \angle C A G=(a+20)^{\circ} \), and \( m \angle A C F=(2 a+10)^{\circ} \), find \( m \angle A C F \). A. \( 110^{\circ} \) B. \( 70^{\circ} \) C. \( 50^{\circ} \) D. \( 20^{\circ} \)

Exercice 1 Un homme mesurant \( 1,75 \mathrm{~m} \) se tenant droit aux alentours de la tour Eiffel se place de sorte que rombre lui passe juste au -dessus de la tête. Son ombre tombe a \( 2,7 \mathrm{~m} \) de lui et celle-di se trouve à 500 m du centre de la tour Eiffel. Quelle est la hauteur de la tour Eiffel ? (arrondie au metre pres)