Someone must have beaten me here. Devora thinks, dismayed by the empty treasure chest. Then, just as she's about to close the li
d, she notices a map (shown below). "Curse these trig-loving pirates!" Devora mutters as she looks at the map. Then, after thinking for a moment, she walks back to the entrance of the secret cave, measuring 484848 meters along the way. After performing a calculation, Devora walks back to the empty treasure, faces the entrance, and turns a certain number of degrees to her left before walking 898989 meters to the treasure. Supposing that the angle at the Cave entrance is acute and that Devora's calculations were correct, how many degrees did she turn? Do not round during your calculations. Round your final answer to the nearest degree.
2 answers:
Answer:
Based on the assumption that the angle of the triangle at the cave entrance is a right angle, the angle Devora turned before walking to the treasure chest is approximately 57 degrees.
Step-by-step explanation:
A sketch of the triangle formed is attached where E is the entrance of the cave, C is the treasure chest and T is the treasure itself.
Using the cosine trigonometric ratio, we have that
Finding the arccosine of 0.5393 gives
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The lengths of the sides of the triangle are 8, 8, 20
Explanation:
Given that the perimeter of an isosceles triangle is 36 inches.
The base of the triangle is times longer than each of its legs.
We need to determine the lengths of the sides of the triangle.
<u>Lengths of the sides:</u>
Let x denote the lengths of the sides of the triangle.
The base of the triangle is given by
Perimeter of the isosceles triangle = Sum of the three sides of the triangle.
Thus, we have,
Thus, the length of the sides of the isosceles triangle is 8 inches.
Base of the triangle =
Hence, the three sides of the isosceles triangle are 8, 8, 20