Question

Use the diagram to answer the question. Triangle D E F. Segments E F and D F measure 11 units. Angle F is a right angle. © 2019 StrongMind. Created using GeoGebra. What is the measure of ∠E?

Answer 1

Answer:

m<E = 45

Step-by-step explanation:

We are given a right angled triangle DEF, with 2 sides of equal length 11 units. We are required to find <E.

To know which trigonometric ratio formula to apply, note the following:

Opposite side = adjacent side = 11 units.

Therefore, we use the following to find <E:

$tan E = \frac{opposite}{adjacent} = \frac{11}{11}$

$tan E = 1$

$E = tan^{-1}(1)$

$E = 45$